Question

What value of x is in the solution set of –2(3x + 2) > –8x + 6

Answer 1

Explanation:

-2( 3x + 2) > -8x + 6

-2*3x + (-2)*2 > -8x + 6

-6x - 4 > -8x + 6

Add 4 to both sides

-6x - 4 + 4 > -8x + 6 + 4 { add like terms}

-6x > -8x + 10

Add 8x to both sides

-6x + 8x > - 8x + 10 + 8x

2x > 10

Divide both sides by 2

2x/2 > 10/2

x > 5

Answer 2

5 <x

Explanation:

–2(3x + 2) > –8x + 6

Divide each side by -2, remembering to flip the inequality

–2/-2(3x + 2) < –8x/-2 + 6/-2

3x+2 < 4x-3

Subtract 3x from each side

3x-3x+2 < 4x-3x-3

2 < x-3

Add 3 to each side

2+3 < x-3+3

5 <x