Question

What is the solution to this inequality? (x | x < 7)

Answer 1

Answer:  The answer is at the bottom.

Step-by-step explanation:

Write  

x

|

x

|

<

7

as a piecewise.

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{

x

2

<

7

x

≥

0

−

x

2

<

7

x

<

0

Solve  

x

2

<

7

when  

x

≥

0

.

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0

≤

x

<

√

7

Solve  

−

x

2

<

7

when  

x

<

0

.

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x

<

0

Find the union of the solutions.

x

<

√

7

The result can be shown in multiple forms.

Inequality Form:

x

<

√

7

Interval Notation:

(

−

∞

,

√

7

)