What is the value of x in the inequality 5-2x/-3 -4< -x

The value of x in this inequality is x > 3.2

Step-by-step explanation:

To find this, we simply follow the order of operations

(5-2x)/-3 - 4 < -x > add 4 to both sides

(5 - 2x)/-3 < -x + 4 ---> multiply by -3

5 - 2x < 3x - 12 > add 2x to both sides

5 < 5x - 12 > add 12 to both sides

17 < 5x > Divide by 5

3.2 < x OR x > 3.2