Solve the equation:

|x+1|+|x-2|=3

I think the correct answer is 3

3

Step-by-step explanation:

Subtract

|

x

-

2

|

from both sides of the equation.

|

x

-

1

|

=

3

-

|

x

-

2

|

Reorder

3

and

-

|

x

-

2

|

.

|

x

-

1

|

=

-

|

x

-

2

|

+

3

Remove the absolute value term. This creates a

±

on the right side of the equation because

|

x

|

=

±

x

.

x

-

1

=

±

(

-

|

x

-

2

|

+

3

)

The result consists of both the positive and negative portions of the

±

.

x

-

1

=

-

|

x

-

2

|

+

3

x

-

1

=

-

(

-

|

x

-

2

|

+

3

)

Solve

x

-

1

=

-

|

x

-

2

|

+

3

for

x

.

Tap for more steps ...

x

=

3

Solve

x

-

1

=

-

(

-

|

x

-

2

|

+

3

)

for

x

.

Tap for more steps ...

x

=

0

Consolidate the solutions.

x

=

3

,

0