How do you solve and graph the compound inequality $-4<4f+24<4$ ?

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Answer 1 · 2015-05-05T11:49:06

Remember you can perform the following operations on both sides of an inequality without changing the inequality:

So
$-4< 4f+24< 4$
can be simplified as
$-1< f+6< 1$
or
$-7< f< -5$

The image below shows this relation graphed on a number line and in Cartesian space: enter image source here

How do you solve and graph the compound inequality -4<4f+24<4 -4<4f+24<4 ?