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