The absolute value of three times a number, n, is greater than 15?  Solve the inequalites and graph. t-7<-15,  b+12<18. 

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mariloucortez's profile pic

mariloucortez | High School Teacher | (Level 3) Adjunct Educator

Posted on

`t-7<-15 ` 

First, combine similar terms.

Move -7 to the right side. Note that moving a term to the other side will change its sign. So,

`t < -15 + 7`

Simplify,

`t < -8`

Thus, the answer is `t < -8` The graph should be all points to the left of -8 (excluded).

As for this:

`b+12<18`

Same steps are applied.

Move 12 to right side to combine with 18. The sign changed from + to -. So,

`b < 18 - 12`

Simplify, 

`b < 6`

Thus, the answer is `b < 6`  .The graph should be all points to the left of 6 (excluded).

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

The absolute value of three times a number, n  is greater than 15. Solve the inequalites and graph.

Thus

`|3n|>15`

If n>0 then

`3n>15`

`n>15/3`

`n>5`

And if n<0 then

`-3n>15`

`n<(-15)/3`

`n<-5`

Thus graph of the solutions are represented on number line. All points on the number line right to 5 (excluded) and left to -5 (excluded).

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