Solve for xx.

-15x + 4 ≤ 109 OR - 6x + 70 > - 2

Choose 1 answer:

(Choice A)

A

x≥-7

(Choice B)

B

-7≤x<12

(Choice C)

C

x<12

(Choice D)

D

There are no solutions

(Choice E)

E

All values of x are solutions

E All values of x are solutions

Step-by-step explanation:

-15x + 4 ≤ 109 OR - 6x + 70 > - 2

We will solve the left inequality first

-15x + 4 ≤ 109

Subtract 4 from each side

-15x + 4-4 ≤ 109 - 4

-15x ≤ 105

Divide by - 15 Remember to flip the inequality

-15x/-15 ≥ 105/-15

x ≥-7

Now we solve the right side

-6x + 70 > - 2

Subtract 70 from each side

-6x + 70 - 70> - 2-70

-6x> - 72

Divide by - 6 Remember to flip the inequality

-6x/-6< - 72/-6

x < 12

Since this is an OR

x ≥-7 OR x < 12

This covers the entire number line

x is all real numbers