Question

PLS HELP! ALSO INCLUDE AN EXPLAINATION LIKE I HAVE THE ANSWER I JUST DON'T KNOW HOW TO SOLVE IT.

-10 ≤ 2(2x + 7) ≤ 10.

Answer 1

-6 ≤ x ≤ -1.

Explanation:

-10 ≤ 2(2x + 7) ≤ 10

Split it up into 2 inequalities:

2(2x + 7) ≥ -10 (reading from the middle to the left)

4x + 14 ≥ -10

4x ≥ -24

x ≥ -6.

and:

2(2x + 7) ≤ 10

4x + 14 ≤ 10

4x ≤ -4

x ≤ -1.

Combining the 2 we have:

-6 ≤ x ≤ -1.

Answer 2

Step-by-step explanation: So first I changed 2(2x + 7) with the distributive property:

4x + 14

Since the above has to be less than or equal to 10, I know that x has to be negative.

If we make x = -1, 4x + 14 simplifies to -4 + 14, which simplifies to 10.

This satisfies the inequality, since it is greater than or equal to -10, and less than or equal to -10.

Hope this explained it well!