How do you solve #3m ≤ 9#?

1 Answer
Alan P.
Aug 26, 2015

#m <=3#

Explanation:

Given an inequality, the following operations can be performed on both sides of the inequality without effecting the orientation or validity of the inequality:

  • Add or subtract the same amount to/from both sides;
  • Multiply or divide by the same amount provided that amount is greater than 0 on both sides.

Therefore, given #3m <= 9#
we can divide both sides by #3# and the inequality remains valid:

#color(white)("XXXX")(3m)/3 <= 9/3#

#rarrcolor(white)("XX) m <= 3#

Related questions
See all questions in Multi-Step Inequalities
Impact of this question
3689 views around the world
You can reuse this answer
Creative Commons License