Compare the investment below to an investment of the same principal at the same rate compounded annually. principal: $7,000, annual interest: 9%, interest periods: 4. number of years: 15
After 15 years, the investment compounded periodically will be worth $
more than the investment compounded annually.

The solution to the inequality may be obtained as follows:

|

3

x

−

4

|

+

6

<

10

|

3

x

−

4

|

<

4

[

Subtract 6 from both sides

]

The expression inside the absolute value sign can either be a positive or a negative value.

For positive value:

(

3

x

−

4

)

<

4

3

x

<

8

[

Add 4 to both sides

]

x

<

8

3

[

Divide both sides by 3

]

For negative value:

−

(

3

x

−

4

)

<

4

−

3

x

+

4

<

4

−

3

x

<

0

[

Subtract 4 from both sides

]

x

>

0

[

Divide both sides by -3 and flip the inequality sign

Step-by-step explanation: