How do you solve and graph the compound inequalities #30 < 10u < 120#?

1 Answer
Alan P.
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

So
#30< 10u< 120#
can be simplified as
#3< u< 12#

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

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