the absolute value of three times a number, n, is greater than 15

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We need to find the solution to the absolute value inequality:

`|3n|>15`

This is really two inequalities, due to the absolute value sign:

`+-3n>15`

For the first, we have

`3n>15`   divide by 3

`n>5`

For the second inequality, we have:

`-3n>15`   divide by -3, switch inequality

`n<-5`

The solution to...

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We need to find the solution to the absolute value inequality:

`|3n|>15`

This is really two inequalities, due to the absolute value sign:

`+-3n>15`

For the first, we have

`3n>15`   divide by 3

`n>5`

For the second inequality, we have:

`-3n>15`   divide by -3, switch inequality

`n<-5`

The solution to the inequality is `n<-5` and `n>5` .

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