Question

Please help.

Solve 3(x+2) > x

Answer 1

Answer: Last option

{x| x>-3}

Step-by-step 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

Answer 2

ANSWER

{x|x>- 3}

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.