Question

Solve the compound inequality. Graph the solution.

–2 ≤ 2x – 4 < 4

Answer 1

-2 <= 2x - 4
-2 + 4 <= 2x
2 <= 2x
1 <= x

2x - 4 < 4
2x < 4 + 4
2x < 8
x < 4

1 <= x < 4

are you using a number line ?

Answer 2

Yes, and I am not number line smart lol

Answer 3

quick lesson :
if there is an equal sign, use a closed circle.
if there is no equal sign, use an open circle.
(<) less then means shading to the left
(>) greater then means shading to the right.

so we have 1 <= x.....closed circle on 1, shading to the right
and x is less then 4....open circle on 4, shading to the left

so it will be closed circle on 1, open circle on 4, shading in between.

Answer 4

Oh! Ok, thank you. I'll have to make note of this now.

Answer 5

any questions ?

Answer 6

also, when you have compound inequalities, I usually separate them, like I did above, and solve it that way. To me, it is easier