How do you solve #-24\leq 2x - 10< - 6#?

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Answer 1 · 2017-05-01T07:29:32

#-7≤x<2#

I usually split the inequality into two. So it becomes

#−24≤2x−10#

and

#2x−10<−6#

Then I'll just solve it.

#−24≤2x−10#

#=-12≤x-5#

#=color(red)(-7≤)x#

And

#2x−10<−6#

#=x-5<-3#

#=xcolor(green)(<2)#

So combine these two equations to get #color(red)(-7≤)xcolor(green)(<2)#