Solving inequalities

Question

Solve the following inequality and express your answer in interval form:

1+x/3<2x-5/4

Answer 1

1 + x/3 < 2x - 5/4         multiply both sides by LCD, 12

12 + 4x < 24x - 15       subtract 4x from both sides

12 < 20x - 15               add 15 to both sides

27 < 20x                      divide both sides by 20

27/20 < x

 

(27/20, oo)