Question

HELP ME PLEASE!!
which answer is a solution to the inequality
2 +|t+6|<12
A) t>4 or t<-11
B) t<4 and t>11
C) -16 10 years ago

Answer 1

Let's re-arrange the problem..
\[\huge~\rm~|t+6|+2<12 \]
Ok...
First step is to subtract 2 from both sides
12-2=?

Answer 2

10...

Answer 3

Good :)
\[\huge~\rm~|t+6|<10 \]
Absolute values have 2 solutions 1 negative and 1 positive
so...
\[\huge~\rm~t+6<10\]
\[\huge~\rm~t+6<-10\]
Simply isolate t for both of these