Question

What is the sum of the solutions of 2|x - 1| -4 = -2 ??

A. 0

B. -2

C. 2

D. 1 1/2

Can someone help me please

Answer 1

the answer is both 2 and 0

Answer 2

Hi there! The answer is C. 2


`2 |x -1| - 4 = - 2`
Add 4 to both sides.


`2 |x - 1| = 2`
Divide by 2


`|x - 1| = 1`
Now work out the absolute value, which gives that the equation is either equal to 1 or to - 1.


`x - 1 = 1 \: \: or \: \: x - 1 = - 1`

`x = 2 \: \: or \: \: x = 0`

Therefore, the sum of the solutions is 0 + 2 = 2.