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)