# Compound Inequality

**OR**or

**AND**operations. The solution set of a compound inequality with "

**and**" in between is the set of all elements common to the solution sets of both inequalities. The solution set of a compound inequality with "

**or**" in between is the union of the solution sets of the two inequalities. If the same number is added to or subtracted from both sides of an inequality, the resulting inequality has the same solution as the original inequality, that is there will be no change in the solution set. If both sides of an inequality are multiplied or divided by the same positive number, the resulting inequality has the same solution as the original inequality, that is there will be no change in the solution set. If both sides of an inequality are multiplied or divided by the same negative number, then we reverse inequality sign to get the solution set.