Question

How do you solve `-5x<2x-0.5<=23`?

Answer 1

Solution: `1/14< x<= 11 3/4 or x| (1/14, 11 3/4]`

Explanation:

`-5x < 2x-0.5 <=23`

1) `-5x < 2x-0.5 or -5x+0.5< 2x or 0.5< 7x` or

`1<14x or 1/14< x or x >1/14` And

1) `2x-0.5 <=23 or 2x <= 23.5 or 4x< =47` or

`x< =47/4 or x< =11 3/4`

Solution: `1/14< x<= 11 3/4 or x| (1/14, 11 3/4]` [Ans]