Question

Solve the compound inequality. Graph the solution set.
-5x<-10 and x+5>2

Answer 1

The above inequalities can be written as

Graph the following equations

For the first inequality, x=0 implies

Hence, the solution set for the above inequality points away from the origin

For the second inequality, x=0 implies

Hence, the solution set for the above inequality points towards the origin

Therefore, the solution set for the above inequality is shown by the shaded region below

The dotted line shows the points on the line are not included in the solution