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What value of x is in the solution set of 4x – 12 ≤ 16 8x?

2 Answers

3 votes
There is an operator missing.

I will assume that the right inequality is 4x - 12 ≤ 16 + 8x

4x - 8x ≤ 16 +12

- 4x ≤ 28

x ≥ - 28/4

x ≥ - 7
User Klenium
by
8.3k points
5 votes

we have


4x-12\leq 16+8x

The options of the question are


-10\ -9\ -8\ -7

Group terms that contain the same variable, and move the constants to the opposite side of the inequality


-12-16\leq 8x-4x


-28\leq 4x

rewrite the inequality


4x\geq -28

Divide by
4 both sides


x\geq -7

The solution is the interval-------> [-7,∞)

All real numbers greater than or equal to
-7

therefore

the answer is


-7

User Shadocko
by
8.2k points