# How do you solve and write the following in interval notation: -12<8-x<=-7 ?

Aug 19, 2017

See explanation.

## $- 12 < 8 - x < - 7$

First you subtract $8$ from all sides.

## $- 20 < - x < - 15$

Next step is to multiply all sides by $- 1$ with changing the inequality sign from $<$ to $>$

## $20 > x > 15$

Finally you can write the solution in an interval form: