Question

I need help please !!

What are the steps to solving the inequality g+2/-3 < –2?

A. Subtract 2 from both sides of the inequality. Multiply both sides of the inequality by –3.

B. Subtract 2 from both sides of the inequality. Change the direction of the inequality. Multiply both sides of the inequality by –3.

C. Multiply both sides of the inequality by –3. Subtract 2 from both sides of the inequality.

D. Multiply both sides of the inequality by –3. Change the direction of the inequality. Subtract 2 from both sides of the inequality.

Answer 1

I believe the answer is D. Let me know if you need an explanation

Answer 2

Multiply both sides of the inequality by –3. Change the direction of the inequality. Subtract 2 from both sides of the inequality.

Explanation:

the steps to solving the inequality
`(g+2)/(-3) <-2`

To solve this inequality , we need to isolate g

To get 'g' alone we need to remove the number from the numerator

To remove -3 from the denominator , we multiply by -3 on both sides

when we divide or multiply by a negative number , we flip the inequality sign

< becomes > symbol

`-3*(g+2)/(-3) >-2*(-3)`

`g+2 > 6`, then we subtract 2 on both sides

`g > 4`

Steps are : Multiply both sides of the inequality by –3. Change the direction of the inequality. Subtract 2 from both sides of the inequality.