Which number is in the solution set of the inequality -5x - 7 > 28?

Question

asked Jun 17, 2023 100k views

1 Answer

Jason Gilmore · Answer 1 · 2023-06-22T01:57:27+0000

Hello!

Answer:

$\Large \boxed{\sf A. -7}$

Explanation:

We have this inequality:

$\sf -5x - 7 \geq 28$

Let's solve this inequality:

◼ Add 7 to both sides:

$\sf -5x - 7+7 \geq 28+7$

◼ Simplify both sides:

$\sf -5x \geq 35$

◼ Divide both sides by -5, so also change the sign of the inequality

$\sf (-5x)/(-5) \leq (35)/(-5)$

◼ Simplify both sides:

$\boxed{\sf x \leq -7}$

So the correct answer is A. -7