Question

Solve the inequality: 6x - 36 > -2x - 14

Answer 1

Answer:

x > 11/4

Step-by-step explanation:

Answer 2

To solve the inequality, you need to isolate/get the variable "x" by itself in the inequality:

6x - 36 > -2x - 14     Add 2x on both sides to get "x" on one side of the inequality

6x + 2x - 36 > -2x + 2x - 14

8x - 36 > -14         Add 36 on both sides

8x - 36 + 36 > -14 + 36

8x > 22         Divide 8 on both sides to get "x" by itself

$\frac{8x}{8} >\frac{22}{8}$       Simplify $\frac{22}{8}$

x > $\frac{11}{4}$