How do you solve #5( m + 1) \leq 20#?

1 Answer
Geoff K.
May 24, 2018

Treat it like an equality (=) temporarily; remember to flip the direction of the #<=# sign if you have to multiply or divide both sides by a negative.

#m<=3#.

Explanation:

Starting with:

#5(m+1) <= 20#

Divide both sides by 5:

#color(white)1(m+1) <= 20/5#

#color(white)(1(color(black)(m+1))) <= 4#

Subtract 1 from both sides:

#color(white)(1(0+color(black)m)) <= 4 - 1#

#color(white)(1(0+color(black)m)) <= 3#

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