Question

How do you solve `-3< - \frac { 1} { 2} - \frac { 2x } { 3} \leq \frac { 5} { 6}`?

Answer 1

`-2<=x<3 3/4`

Explanation:

Multiply all by 6:
`-3*6<(-1*6)/2-(2x*6)/3<=(5*6)/6`
`-18<-3-4x<=5`

Add 3 to all:
`-15<-4x<=8`

Multiply all by -1:
`15>4x>=-8`
`-8<=4x<15`

Divide all by 4:
`-2<=x<15/4`
`-2<=x<3 3/4`