PhD students Solve the following equation 46y528 A The solu

PhD students ??
Solve the following equation.
4+6|y+5|=28
A.) The solution set is {...}. The equation is conditional
B.) The solution set is {y| y =/= ....}. The equation is an identity.
C.) The solution set is the set of real numbers. The equation is an identity.
D.) The solution set is the empty set. The equation is inconsistent.

Solution

4+6|y+5|=28

6|y+5|=28-4

6|y+5|=24

|y+5|=24/6

|y+5|=4

y+5 =-4 ,y+5=4

y =-4-5,y=4-5

y =-9, y=-1

the solution set is {-9,-1} The equation is conditional