Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. t+14≥15⇔t≥1 This inequality tells us that all values greater than or equal to 1 will satisfy the inequality. Thus, we can graph it on a number line with a closed circle at 1 and the solution set represented to the right.
Note that the point on -1 is open because it's not included in the solution set.
The solution to the compound inequality is the combination of the solution sets. t<-1 or t≥1 In the same way, the graph is a combination of the to separated graphs.
The compound inequality is now represented by the two solution sets. z<-1orz>2 The graph will be a combination of the two solution sets as well.