Question

|3t+6|<9

Answer 1

I'll get you started

|3t+6|<9

-9 < 3t+6 < 9

and I'll let you take over from here. Tell me what you get.

Answer 2

by the way, I'm using the rule that

if

|x| < k

then

-k < x < k

where k is some positive number

Answer 3

A.-4
B.-1
C.0
D.2
The answer is D but how?

Answer 4

-9 < 3t+6 < 9

-9-6 < 3t+6-6 < 9-6 ... subtract 6 from all sides

-15 < 3t < 3

What's next?

Answer 5

Divide 3 from all sides

Answer 6

good, that gives you

-15/3 < 3t/3 < 3/3

-5 < t < 1

Answer 7

Since we know -5 < t < 1, we can say that the variable t is some number between -5 and 1. But t cannot equal -5 and t cannot equal 1