-2/3x>8 find x please

Answer 1

First multiply both sides of the equation by the reciprocal of -2/3 which is -3/2 to remove the negative fraction from in front of the x, so you have,

(-3/2)(-2/3)x > 8(-3/2)

When multiplying or dividing both sides of the equation by a negative number, the inequality sign flips.

We now have

(-3/2)(-2/3)x < 8(-3/2)

or

x < -24/2

The answer is

x < -12

Answer 2

(-2/3)x > 8

-2x > 24 <--- multiplies both sides by 3

x < 24/-2 <---- divides both sides by -2; sign changes

x < -12

CHECK: -21 <-12 should work

(-2/3)(-21) = -2 * -7 = 14 > 8 yes it works

CHECK: 0 > -12 should fail

(-2/3)(0) > 8

0 > 8 FAILS AS EXPECTED