Solve the equation:
|x+1|+|x−2|=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

.

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x

=

3

Solve  

x

−

1

=

−

(

−

|

x

−

2

|

+

3

)

for  

x

.

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x

=

0

Consolidate the solutions.

x

=

3

,

0

n

step-by-step explanation:

the answer is 31.27mph