How can I sole 2x over 3 is greater than 4x+10

Answer: x < - 3

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.