What's the difference between whole numbers and positive integers

Whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ...
Positive integers are 1, 2, 3, 4, 5, 6, 7, 8, 9, ...

The only difference is that whole numbers have 0 included whereas positive integers do not have 0 included.

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: