How do you solve # - 2m< 5 - m + 1#?

1 Answer
Alan P.
Feb 7, 2016

#m > -6#

Explanation:

Since you can add or subtract the same amount to either side of an inequality without effecting the validity of the inequality:

#-2m < 5 - m +1#

after combining the constants on the right side:
#-2m < 6 - m#

adding #2m# to both sides
#0 < 6 +m#

subtracting #6# from both sides:
#-6 < m#

#rarr m > -6#

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