Question

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

Answer 1

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