To turn [tex]1.3 \leq h \leq 2.1[/tex] into an absolute value inequality we do the following: First get the average between 1.3 and 2.1. To do this we add 1.3 to 2.1 and then divide by two. [tex]\frac{1.3 + 2.1}{2} = 1.7[/tex]
Now that we have the average we can start to create the absolute inequality [tex]1.3 \leq h \leq 2.1[/tex] Insert our average in the middle [tex]1.3 \leq h - 14 \leq 2.1[/tex] Subtract subtract 1.3 from 1.4 and 1.4 from 2.1 which both will = 0.4. Now setup your absolute value. [tex]|h - 1.7| \leq 0.4[/tex]