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
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)_/¯
Sorry for bothering anyone but by now I’m just that desperate okay
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