When dealing with inequalities, we often want to rearrange the statement to make it more clear how the numbers have been divided. We do this in a manner similar to solving equations with one important exception: when multiplying by a negative number, we must remember to change the direction of the inequality.
For example, \( 3- 2x > 5 \) tells us something about \( x \). We can make the statement clearer in the following manner:
3-2x &> 5 \\
-2x &> 2 \\
x &< 1.