Question

Solve the inequality. 1/5+1/3x>1/2x-1/4

Answer 1

1/5 + 1/3·x > 1/2·x - 1/4

1/3·x - 1/2·x > - 1/4 - 1/5

2/6·x - 3/6·x > - 5/20 - 4/20

- 1/6·x > - 9/20

1/6·x < 9/20

x < 54/20

x < 27/10

x < 2.7