Ace's Topics (108)

Move all terms not containing z
to the right side of the inequality.

First divide by 2 on both sides for the first equation and you are left with:

2.9z+3.5 < 15.1

Then subtract 3.5 onto both sides, so:

2.9z + 3.5 -3.5 < 15.1 - 3.5

This will help get rid of your constant that is connected to the z, because remember we are trying to isolate the z. The only way to isolate a variable in an expression is to move everything but that variable to one side by doing the opposite of what is show. SO if you originally have an addition of the variable with a constant (ex. x +3.5 = 0) then you do the opposite to both sides of the equation to get rid of it being associated with the variable.

You are then left with:

2.9z < 11.6

Lastly divide the 2.9 onto both sides and you are left with:

z < 4

In interval notation it is written as (- ∞, -4 )

Both in parentheses due to it being a less than rather than a less than or equal to inequality sign.

You can solve the second equation by doing similar steps. First divide by 4 to both sides, then minus the constant to both sides. Once you minus the constant over, you must simplify it by finding a common denominator and combining the fraction. Once this is done you can then divide the value that is multiplied with the variable to both sides.

4(1.5z+1.25)_>-7.0

1.5z+1.25 _> -7.0/4

1.5z _> (-7.0/4) - 1.25

To get a common denominator so that you can simplify the values on the right side of the equation, you first multiply the -1.25 by 4 on both the top and bottom of it. I say this as -1.25 can also be written in fraction form as (-1.25/1)

So both the -1.25 and the 1 get multiplied by 4.

See as such:

1.5z _> (-7.0/4) - (1.25/1)(4/4)

This gives us a common denominator, as seen next:

1.5z _> (-7.0/4) - (5/4)

We can then combine the right side, take note that with common denominators, when combining, you keep the same value and only simplify the top portion. Can be rewritten as this:

1.5z _> (-7.0 - 5)/4

Now simplify it.

1.5z _> -12/4

Can further simplify:

1.5z _> -3

Last step is to divide both sides by 1.5.

z _> -3/1.5

z _> -2

This written in interval notation is:

[-2 , ∞ )

Notice that the -2 has a bracket, this is due to it being a greater than or equal to -2.

That being said, only the second equation, which has an interval of [-2 , ∞ ) can have a solution of 1 given that 1 falls within the interval.

The first equation is not the answer as the interval is (- ∞, -4 ) and the value 1 does not fall within this interval.

Hope this helped!

edit to my post, both has a solution of 1. I realized I accidently added a negative to the 4 from the first equation. The correct interval should be (- ∞, 4 ) or z < 4

Omfg I appreciate you so much even tho u weren't helping me-

(づ￣ ³￣)づ

thank you such a livesaverᶘ ᵒᴥᵒᶅ

someone better help this poor soul

lol i can help you but idk how to show my work on here...lmao. lmk if u still need it though.

ok wait so for inequality one:
2(2.9z+3.5)<30.2
5.8z+7<30.2
(now subtract 7 from both sides so the equation becomes):
5.8z<23.2
(now divide 5.8 from both sides. the equation is now):
z<4
^and thats the answer for the first equation

Second inequality:
4(1.5z+1.25)_>-7
6z+5_>-7
(now subtract 5 from both sides so inequality will be):
6z_>-12
(now divide 6 from both sides. it will now be):
z_>-2
^answer to second inequality.

Thank you(´･_･`) I just found out why I got a whole different answer

np! :P
are you doing algebra 1 rn?

Idk my school just calls it Advanced 7th Grade Math

ah, ok. well if u need any help u can ask me if u want lol. (︶︿︶)＝凸

Sure:)

pls did i just send u the middle finger :| i’m sorry it looked like thumbsup LMAO :’c

Lol I figured after a little cause I was like your words don't match up

sdjnfskdjfbsdhfkl ╥﹏╥

Use PEMDAS
5.8z+7<30.2
-7 -7
5.8z < 23.2
divide 5.8 on both sides
z<4

4(1.5z+1.25) less than or equal to -7
6z+ 5 is less than or equal to -7
-5 -5 (subtract 5 on both sides)
6z is less than or equal to -12
Divide both sides by 6 to isolate z
Z is less than or equal to -2

That means the first equation is the answer as the second equation’s greatest value is -2 which is less than 1

Wait LOL I just realized u posted a month ago

Wait I fucked up it was greater than or equal to for the second inequality so it’s z is greater than or equal to -2 which means both equations work

I'm sorry should've deleted it or something
Yeah I wrote this. Comment on a bunch of other ones too so I got the help I needed.Thanks for the help tho

Lol, I was also about to reply and saw that it was so long ago

2(2.9z + 3.5) < 30.2 <=> (2.9z + 3.5) < 30.2/2 = 15.1
<=> 2.9z < 15.1-3.5 = 11.6
<=> z < 11.6/2.9 = 4
So z < 4

the second Iequality: 4(1.5z+1.25) > -7 <=> 1.5z + 1.25 > -7/4 <=> z > -(7/4-1.25)/1.5 = -2
So z > -2.

Both have 1 as solution.

What does "_>" mean btw? Anyway, inequalities work almost the same as equation, unless you are dividing or multiplying by a negative number.

Let's solve your inequality step-by-step.
2(2.9z+3.5)<30.2
Step 1: Simplify both sides of the inequality.
5.8z+7<30.2
Step 2: Subtract 7 from both sides.
5.8z+7−7<30.2−7
5.8z<23.2
Step 3: Divide both sides by 5.8.
5.8z
5.8
<
23.2
5.8
z<4
Answer:
z<4
And
4(1.5z+1.25)≥−7
Step 1: Simplify both sides of the inequality.
6z+5≥−7
Step 2: Subtract 5 from both sides.
6z+5−5≥−7−5
6z≥−12
Step 3: Divide both sides by 6.
6z
6
≥
−12
6
z≥−2
Answer:
z≥−2

Inequality 1: 2(2.9z + 3.5) < 30.2 ---> 5.8z + 7 < 30.2 ---> 5.8z < 23.2 ---> divide 5.8 with 23.2 ---> z<4

Inequality 2: 4(1.5z + 1.25) _> -7.0 ---> 6z + 5 _> -7.0 ---> 6z _> -12 ---> divide 6 with -12 ---> z _> -2

Hopes this helps but I never got 1 as a solution for both inequalities ╮(￣▽￣)╭

I'm so dumb just by reading this

you got 1 as solution for both, no? the solution intervals both include 1.

same this is so sad my worst fucking subject

wait nvm i get it

Oh, I thought that was how you type 'greater than' and I just copied how they just wrote it. lol I guess it was a > not a greater than sign. I think

I'm sorry it's been a while since I've done this and now that you mention it yes, the solution intervals both include 1. Thanks for the correction! This was fun lol!

this is the funniest shit I’ve seen here and it’s a math problem

Lol there was this one time a while ago where I was having a mental breakdown cause all the other places where I was looking for help was no help at all so I just came here and somebody actually answered me and helped me get the right answer. In the end the only thing that helped me out of all the places I went to was Wattpad and Mangago . And the subject was about 7th grade Punnett square Word problems¯_(ツ)_/¯

Oh _> was supposed to mean this > on top of that _ cause I couldn't see the one on the keyboard so I just put them next to each other.Thanks for your help too!

Thank you for the help!

Thanks but turns out there both 1 but the answers you got were correct!

it ok so am I.

Solve each of the given inequalities for z. Which of the inequalities have 1 as a solution?
Inequality 1: 2(2.9z+3.5)<30.2
Inequality 2: 4(1.5z+1.25)_>-7.0

Also the teacher wants me to show my work

wow didn’t expect to be doing math on this website but i think i know the answer.

1.) distribute what’s outside the parentheses to in (so multiply 2 by 2.9z and 3.5)

2.) for z, substitue it with 1. try these for both equations and see if it’s true

there’s also an app called photomath that helps you solve your problems, see if you can download it and use that! it also shows the steps i think so good luck

question 1)
(dived both sides of equation by 2)

2(2.9z+3.5)/2 < 30.2/2

(subtract 3.5 from both sides)

2.9z + 3.5 - 3.5 < 15.1 -3.5

2.9z<11.6

(divide both sides by 2.9)

2.9z/2.9 < 11.6/2.9

z<4

Inequality 1: z<4

Distribute the 2 to the parenthesis -> 2*2.9z=5.8z & 2*3.5=7 -> 5.8z+7<30.2

Then, you subtract 7 to both sides -> +7-7= 0 and 30.2-7=23.2. -> 5.8z<23.2

Divide 5.8z to both sides -> 5.8z/5.8=z & 23.2/5.8= 4

Final answer: z<4

Me: oh heck no! I did not graduate just so I could worry about math problems when I’m supposed to be reading bl and memes! Fuck that!!
Also me: sigh *puts on glasses and tries to remember how to solve problem for 5mins*
Sorry kid! It’s not coming to me! My major has barely any math so I’ve forgot how to solve this! Try YouTube!

Just sent you a message on mangago to a link to a google docs with a step by step of how to do question 2

Inequality 2: z_>-2

Distribute the 4 to the parenthesis -> 4*1.5z=6z & 4*1.25=5 -> 6z+5_> -7.0

Subtract 5 to both sides -> +5-5=0 & -7.0-5=-12

Divide 6 to both sides -> 6z/6=z & -12/6=-2

Final answer: z_>-2

I would just like to say that I am proud to be in this community （/TДT)/ y'all are broooz(๑•ㅂ•)و✧

Could you solve it? What was the correct answer? I’m curious (￣∇￣")

I think I got here late but I tried doing it and I had the same result as some answers below if I’m not mistaken.

However it’s been a long time since I graduated school that I don’t remember math well.
The resolution was sth like this?

2(2.9z + 3.5) < 30.2
5.8z + 7 < 30.2
5.8z < 30.2 -7
Z < 23.2/5.8
Z<4

4(1.5z+1.25)>-7.0
6z + 5 > -7
6z > -7 -5
Z > -12/6
Z > -2

Good luck Ace!! (๑•ㅂ•)و✧

I did not expect a math problem to be here but here we are

My brain exploded by numbers.

Thank you

First try I got z<0.75(⊙v⊙)

Lol there was this one time a while ago where I was having a mental breakdown cause all the other places where I was looking for help was no help at all so I just came here and somebody actually answered me and helped me get the right answer. In the end the only thing that helped me out of all the places I went to was Wattpad and Mangago . And the subject was about 7th grade Punnett square Word problems¯_(ツ)_/¯

It did help a little thanks

Thank you!

Thank you so much!

I mean if you compare it to science...I guys you can say that

Thanks must be nice to graduate

Lol it's because of this one time where I started to have a mental breakdown cause nobody was able to help me on 7th grade punnett Square Problems. Like I went to all platforms youtube,tiktok,inst,discord,etc and none of them helped. I was just desperate at that point so in the end what helped me was the community in Wattpad and Mangago.

My papers also going to be exploded by numbers when I have math test on Wednesday ╥﹏╥

What's the problem to be solved?

 Solve each of the given inequalities for z. Which of the inequalities have 1 as a solution?
Inequality 1: 2(2.9z+3.5)<30.2
Inequality 2: 4(1.5z+1.25)_>-7.0

Also the teacher wants me to show my work

Inequality 2

Both inequalities do actuallly is what I got from most people but thanks for the helpʕ •ᴥ•ʔ

1 is a solution to both inequalities.
1. z < 4 (1 is less than 4)
2. z _> -2 (1 is greater than or equal to -2)

Bwahahahah lol, yeah
I missed a step and had z>4, but it was the opposite

He is not ML right?

Nah the black haired guy is going to be the ml I think he'll come in the next chapter or the one after

r u talking about the math punnet square diagram thing?

Yeah ╥﹏╥

I don't know about math Punnet squares but I know about the ones in biology since my teacher was talking about it when we learned about genea

There's so many type of punnett square called mendelian law

Bruh I just finished online school like an hour ago let's not talk about things that require us to think as of now

ohhh you should watch the youtube vids about it the youtube vids really helped me out in that area for math before

Some random people helped me already but thanks for the adviceᶘ ᵒᴥᵒᶅ

I do is it for biology?

Add me on discord and I’ll help u it’s Avivi.Owl#3491

Idk but I do know it's 7th grade science

Okay thank you

I'm sorry hasn't been long since I've been using discord but how do you add people?

Here just tell me cause idk how to use it myself but pretty much how a punnet square works for science is that you will have a big Y and a little y. The big Y will represent the dominant gene and the little will represent the Recessive gene

https://www.biologyjunction.com/wp-content/uploads/2018/12/8ecb82322295758f63aee7d85b61a94f54b9f9f3.png
This is a great visual representation. Pretty much it’s combining the genes of both people who have either two recessive or two dominant or one of each and finding the probability of what the outcome will have from each person such as curly hair with brown eyes or curly hair with blue eyes

If u still don’t understand I can try to explain further/ better I’m a senior in hs and it’s been a while since 7th grade

Thanks for your help I got it now. thank you so much those few hours felt like a mental meltdown

Lol ofc! no worries glad to help, good luck :)