Question

Somebody please help me

Answer 1

c. the original answer is t<3, but that is not a choice on there soooo, it is C. it has the answer, and its close enough.
i hope this helps. 

Answer 2

Greetings!

Solve the Inequality:
$3+|t+4|\ \textless \ 10$

Add -3 to both sides:
$(3+|t+4|\)+(-3) \textless \ 10+(-3)$

$|t+4|\textless \ 7$

Solve the Absolute Value:

Condition One:
$t+4\ \textgreater \ \ 7$

Add -4 to both sides:
$(t+4)+(-4)\ \textgreater \ \ (7)+(-4)$

$t\ \textgreater \ \ 3$

Condition Two:
$t+4\ \textless \ \ -7$

Add -4 to both sides:
$(t+4)+(-4)\ \textless \ \ (-7)+(-4)$

$t\ \textless \ \ -11$

The Answer Is:
$\boxed{t\ \textless \ 3} \\ \boxed{t\ \textgreater \ -11}$

I hope this helped! 
-Benjamin