Question

What is the solution to the inequality shown? -2(x + 3) < 6 - x x > -12 x < -12 x > 12 x < 12

Answer 1

x < -12

Explanation:

Given the inequality

-2(x + 3) < 6 - x

Expand

-2x - 6 < 6 - x

Collect the like terms;

-2x + x < 6 + 6

-x < 12

Multiply through by -1

-1(-x) < -1(12)

x < -12