Solve 2y 14 0 Select the correct choice below and if neces

Solve. 2|y + 1|-4 = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The solution set is {}. (Simplify your answer. Use a comma to separate answers as needed.) There is no solution.

Solution

Given 2|y+1|-4=0

Case 1. when y<-1

2|y+1|-4=0   ==> 2(-(y+1))-4=0

==> -2y-2-4=0 ==>-2y=6    ==>y= -6/2= -3

Case 2:   when y>-1

2|y+1|-4=0 ==> 2y+2=4 ==> y=2/2=1

Therfore y=-3 and 1 ...... ans