Solve the inequality: |2x+5|>0.5

Step-by-step explanation:

Divide all three terms by 2 to isolate x:

|x + 5/2| > 0.25

Case 1:  x + 5/2 > 0.25 (no absolute value symbol needed), or x > -2.25

Case 2:   -(x + 5/2) > 0.25.  Multiplying both sides by -1 yields

                 x + 5/2 < -0.25.  Subtracting 5/2 from both sides:  x < 5.45

The solution set is    -2.25 < x < 5.45.

linear pair postulates