Question

Solve This Inequality.

Answer 1

`- 3x - 2 \ \geqslant 7 \\ - 3x \geqslant 7 + 2 \\ - 3x \geqslant 9 \\ ( - 3x)/( - 3) \geqslant (9)/( - 3) \\ x \leqslant - 3`

The answer is x<-3

Answer 2

Hello!

Answer:

`\Large \boxed{\sf x \leq -3}`

Explanation:

To solve this inequality, let's isolate x:

`\sf -3x - 2\ge 7`

◼ Add 2 from both sides:

`\sf -3x - 2+2\ge 7 +2`

◼ Simplify both sides:

`\sf -3x \ge 9`

◼ Divide both sides by -3:

`\sf (-3x)/(-3) \leq (9)/(-3)`

◼ Simplify both sides:

`\boxed{\sf x \leq -3}`