How do you solve #-2( - 2+ 5m ) < 64#?

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Answer 1 · 2017-02-28T12:46:24

#m<-6#

#color(blue)(-2(-2+5m)<64#

This an inequality equation.We need to isolate #m# by balancing the equation in simpler forms

Divide both sides by #color(red)(-2#

#rarr(cancel(-2)(-2+5m))/cancel(color(red)(-2)) < 64/(color(red)(-2))#

#rarr-2+5m<-32#

Add #color(red)(2# both sides

#rarr-2+5mcolor(red)(+2)<-32color(red)(+2#

#rarr5m<-30#

Divide both sides by #color(red)(5#

#rarr(cancel5m)/cancel(color(red)(5))<-30/(color(red)(5)#

#color(green)(rArrm<-6#