Question

Thank you, if you help.
Solve the inequality. 2 + |t + 6| < 12

A.
t > 4 or t < –11

B.
t < 4 and t > 11

C.
–16 < t < 4

D.
–4 < t < 16

Answer 1

\[\left| t+6 \right|+2<12\]\[\left| t+6 \right|<10\]when you want to solve these kinds of inequalities use this solution
\[\left| x \right|<k \]\[-k <x <k\]
so you can write -10<t+6<10
and you can easily solve it.