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

1 Answer
May 1, 2017

#-7≤x<2#

Explanation:

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)#