Answer: x < -3
Step-by-step explanation:
(2x)/3 is greater than 4x+10
(2x)/3 > 4x + 10
You want to isolate x on 1 side:
Multiply both sides by 3
=> 2x > 3 (4x + 10)
=> 2x > 12x + 30
Subtract 12x from both sides:
=> -10x > 30
Divide -10 from both sides. Note when multiplying or divide by a negative number in inequality, you must flip sign:
=> x < -3 for (2x)/3 to be greater than 4x+10
Check: plug in -6
2(-6) / 3 ? 4(-6)+ 10
-4 ? -14
-4 > -14
This inequality is valid.