If -3 < x < 0, what is the range for 2x ?

Answer 1

Since x has to be negative, -6<x<0.

Answer 2

a. -6 < 2x < 0
b. -6 > 2x > 0
c. -6 <2x < 2
d. -6 > 2x >2
e. 6 > 2x > 0

please step by step explain

Answer 3

What step by step ?
Just multiply by 2

-6 < 2x < 0

Answer 4

how above this

If 4 < x <14, what is the range for x-4?

4-4= 0
x-4= x-4
14-4= 10

so, 0 < x-4 < 10

Am I correct ?

Answer 5

If -2 < x < 2, what is the range for - x/2 ?

-2 / -2 = 1
x / - 2 = - x/2
2 / -2 = -1

1 > - x/2 > -1

Am I correct ?

Answer 6

If -2 < x < 2, what is the range for - x/2 ?
Yes
multiply by -1/2
when you multiply by a negative, reverse direction of arrows
+1 > -x/2 > -1

Answer 7

so, 0 < x-4 < 10

Am I correct ?

sure, but that was easy