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

1 Answer
May 5, 2015

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

  • Add or subtract any number
  • Multiply or divide by any positive (and non-zero) number

#-4< 4f+24< 4#
can be simplified as
#-1< f+6< 1#
#-7< f< -5#

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