Question

Solve 3n + 11 < 17 or -3n > 12. Which is the best description of the solution set?

n < 2 or n > -4
n < 2 or n < -4
n < 2
n < -4

Answer 1

3n + 11 < 17 (subtract 11 from 11 & 17)
- 11 -11
________________
3n < 6

Positive 11 and negative 11 cancel out.
3n + 11 < 17
- 11 -11
______________
3n < 6
__ __
3 3
Divide by 3 and get:

n < 2

Next situation:

-3n > 12

Divide by negative 3:

-3n > 12
____ ____
-3 -3

n > -4
*** Since you divided with a negative, the sign flips: n < -4

Answer 2

So the best description of the solution set is n < 2 or n < -4

Answer 3

Wow! I understand it a bit more! Thank you!

Answer 4

No problem :D