If -3 < x < 0, what is the range for 2x ?
Since x has to be negative, -6<x<0.
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
What step by step ?
Just multiply by 2
-6 < 2x < 0
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 ?
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 ?
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
so, 0 < x-4 < 10
Am I correct ?
sure, but that was easy