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18 May, 00:04

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

+2
Answers (1)
  1. 18 May, 00:27
    0
    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
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