Solve -x2/3 > 8 or -x2/3 < 4. x x x > -12 or x < -6

Question

Solve -x2/3 > 8 or -x2/3 < 4. x x < -12 or x > -6 x > -12 or x < -6

Answer 1

x < -12 or x > -6

Explanation:

-x2/3 > 8 or -x2/3 < 4

Solve separately then put back together

-x2/3 > 8

Multiply each side by -3/2, remembering to flip the inequality

-2/3 x* -3/2< 8 * -3/2

x < -12

OR

-x2/3 < 4

Multiply each side by -3/2, remembering to flip the inequality

-3/2 * -2/3x > 4*-3/2

x > -6

Put back together

x< -12 OR x> -6