How do I solve for x: |x + 1| = 5/2??

Question

A. 7/2 and -3/2

B. -3/2

C. =-7/2

D. None of the above

Answer 1

x+1 =5/2 and x+1=-5/2

x=3/2 and x= -7/2

C. is a partial answer

Answer 2

Because it is absolute value there will be two answers.

Set it up as two equations:

x+1=(5/2) and x+1=(-5/2)

Then solve.

Answer 3

X+1 =5/2

X+1=2 1/2

X+1-1=2 1/2-1

X=1 1/2 (or 3/2)

Answer =D. None of the above

Answer 4

|x + 1|  includes x+1 and -x-1

x+1 = 5/2;  x =3/2

-x-1 = 5/2;  x =-7/2

So it looks like D is the answer because C is incomplete

Answer 5

You have this equation:   lx+1l=5/2

Then you'll have 2 new equations:

x+1=5/2    and    x+1=-5/2

The first one:

x+1=5/2

x=5/2-2/2

x=3/2

The second one:

x+1=-5/2

x=-5/2-2/2

x=-7/2

Both answer are correct: 3/2 and -7/2