Question

2/3x +14 -3x >4-3x-7

Answer 1

Answer:

2

3

x

+

14

−

3

x

>

4

−

3

x

7

Write the problem as a mathematical expression.

2

3

x

+

14

−

3

x

>

4

−

3

x

7

Graph each side of the equation. The solution is the x-value of the point of intersection.

x

≈

−

1.23527136

Find the domain of

2

3

x

−

3

x

+

10

+

3

x

7

.

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(

−

∞

,

0

)

∪

(

0

,

∞

)

Use each root to create test intervals.

x

<

−

1.23527136

−

1.23527136

<

x

<

0

x

>

0

Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.

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x

<

−

1.23527136

False

−

1.23527136

<

x

<

0

True

x

>

0

True

The solution consists of all of the true intervals.

−

1.23527136

<

x

<

0

or

x

>

0

The result can be shown in multiple forms.

Inequality Form:

−

1.23527136

<

x

<

0

or

x

>

0

Interval Notation:

(

−

1.23527136

,

0

)

∪

(

0

,

∞

)

image of graph