79.4k views
3 votes
Solve the equation:
|x+1|+|x−2|=3

User Seanyboy
by
5.3k points

2 Answers

5 votes

Answer:

3

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

User Niels Bosma
by
5.4k points
3 votes
I think the correct answer is 3
User Mirswith
by
4.0k points