# How do you solve the compound inequalities #−22 > −5x − 7 >=−3#?

##### 1 Answer

May 7, 2015

I will assume that the leading - before the 22 is a hyphen and not a minus sign. If it were a minus sign there would be no solution.

You can apply any of the following operations to all parts of such a compound inequality retaining its truth:

(1) Add or subtract a constant.

(2) Multiply or divide by a positive number.

(3) Multiply or divide by a negative number and reverse the signs.

Start by adding 7 to all parts to get:

Divide by 5:

Multiply by -1 and reverse the signs:

Or in decimal notation: