Question

Solve the inequality. 2 + |t + 6| < 12

Answer 1

you wanna subtract 2 and get
\[|t+6|<10\] then make the compound inequality
\[-10>t+6<10\]

Answer 2

oops i meant
\[-10<t+6<10\] that is better

Answer 3

solve that by subtracting 6 all the way across

Answer 4

thank you!!

Answer 5

you are welcome!

Answer 6

2+|t+6|<12
|t+6|+2<12
Step 1: Add -2 to both sides.
|t+6|+2+−2<12+−2
|t+6|<10
Step 2: Solve Absolute Value.
|t+6|<10
We know t+6<10 and t+6>−10
t+6<10(Condition 1)
t+6−6<10−6(Subtract 6 from both sides)
t<4
t+6>−10(Condition 2)
t+6−6>−10−6(Subtract 6 from both sides)
t>−16
Answer:
t<4 and t>−16