Question

Please help.

Solve 3(x+2) > x

Answer 1

x

EXPLANATION

The given inequality is;

`3(x+2) \: > \: x`

Expand the parenthesis to obtain,

`3x+6>x`

Group like terms

`3x-x \: > \: -6`

`2x>-6`

Divide both sides by 2

`x \: > \: - 3`

The correct choice is D.

Answer 2

Answer: Last option

x>-3

Explanation:

We have the following inequality 3 (x + 2)> x

To solve the inequality, apply the following steps:

1) Apply distributive property

`3 * x + 3 * 2> x\\\\3x + 6> x`

2) Subtract 6 on both sides of the inequality

`3x +6 -6> x-6\\\\3x> x-6`

3) Subtract x on both sides of the inequality

`3x-x> x-x-6\\\\2x> -6`

3) Divide by 2 both sides of the inequality

`x> -3`

The solution is all numbers greater than -3