# How do you solve compound inequalities #-2x + 1 > 3# and #-2x + 1 < 9#?

##### 1 Answer

May 10, 2015

Using the shorthand notation

Next, divide all parts by -2 and reverse the inequalities (since -2 is negative), to give:

The truth of a multi-part inequality is preserved by the following operations:

(1) Add or subtract a given number from all parts.

(2) Multiply or divide all parts by a positive number.

(3) Multiply or divide all parts by a negative number and reverse the inequalities.