What is the solution to 2⋅|x−3|−4< 10?

a.) −4 b.) x< −4orx> 10
c.) x< −4orx< 10
d.) −10

2* |x - 3| - 4 < 10
The absolute value bars have to be isolated before setting up for solving.
Add 4 to both sides.

2 * |x - 3| < 14
Divide both sides by 2
|x - 3| < 7
Now set up the 2 cases. X will be in the center and we will work from the center, left and right.
-7 < x - 3 < 7
Add 3 to the left, center, and right
-4 < x < 10
I don't see this answer. Are you sure that is supposed to be a multiplication between the 2 and absolute value bar?

Let the number be x.
-45<x<7 would be the resulting inequation.

Yes, -40 is a solution . In fact all the numbers between -45 and 7 is equal to x.