How do you solve and graph #6<-2m<10#?

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Answer 1 · 2018-05-19T17:14:20

See process below

Given #6<-2m<10#

Take the left side #6<-2m#

Multiply by -1 in both sides. The symbol "<" changes

#-6>2m#. Now divide by 2 both sides and you get #-6/2>m# or equivalent #m<-3#

Take now the rigth side #-2m<10#. Apply the same process

#2m> -10# or equivalent #m> -10/2=-5#

In summary, we have two restrictions
#-5 < m < -3#

This is equivalent to interval #(-5,-3)# grafically is the segment between -5 and -3 but without both endpoints