Question

How do you solve `-1/3 <=(4x-1)/3< 1/2`?

Answer 1

Solve`- 1/3 <= (4x - 1)/3 < 1/2`

Ans: `0 <= x < 5/8`

Explanation:

`-1/3 <= (4x)/3 - 1/3 < 1/2`
`0<= (4x)/3 < 1/2 + 1/3 = 5/6`
`0 <= 4x < 15/6`
`0 < x < 15/24`
`0 <= x < 5/8`

---------------|0========|5/8----------------

Answer by half closed interval [0, 5/8)