How do you solve and graph the compound inequality #5 < 4x + 1 < 13# ?

1 Answer
Alan P.
May 9, 2015

You could break this up into 2 separate inequalities, but there probably is no real advantage to this.

Remember that you can perform the following operations without modifying the orientation of the inequality:
1. Add or Subtract any value.
2. Multiply or Divide by any value #>0#

#5 < 4x+1 < 13#

#4 < 4x < 12 # after subtracting 10 from each expression

#1 < x < 3# after dividing each expression by 4

Graphed as a number line this would look like:
enter image source here

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