We want to solve the following inequality
[tex]|r|\text{ -3 >2}[/tex]To solve this inequality, we first add 3 on both sides, so we get
[tex]|r|>2+3=5[/tex]So we have the inequality
[tex]|r|>5[/tex]Recall that the absolute value represents the distance from a number to 0. So this means that the number r is greater than 5 or it is less than -5. So we have the following two inequalities
[tex]r>5[/tex][tex]r<\text{ -5}[/tex]This could be drawn on the number line as follows. Greater than (>) means that the number 5 is on the left, and the less than (<) means that the number -5 is on the right side. So we get the following
