How do you solve 1<3x+4<10?

1 Answer
Alan P.
Jul 8, 2015

#-1 < x < 2#

Explanation:

Adding or Subtracting a constant from each component of an inequality and Multiplying or Dividing by a constant greater than #0#, does not effect the orientation of the inequality.

So
#color(white)("XXXX")##1 < 3x +4 <10#
becomes by subtracting #4# from each component
#color(white)("XXXX")##-3 < 3x < 6#
which becomes by dividing each component by #3#
#color(white)("XXXX")##-1 < x < 2#

Related questions
See all questions in Compound Inequalities
Impact of this question
3770 views around the world
You can reuse this answer
Creative Commons License