Question

Solve for x: −2x + 5 < 7

Answer 1

-2x + 5 < 7

-2x + 5 < 7
        -5     -5          deduct 5 from both sides
-2x       < 2
÷ -2        ÷ -2         divide both sides by negative 2. Because of the division 
 x          > -1          using a negative number, the sign is then reversed.
                             from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on... 

To check: Revert back to the original sign which is <.

x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7