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oldcoolschool
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. 
BenjaminG123
Greetings!

Solve the Inequality:
[tex]3+|t+4|\ \textless \ 10[/tex]

Add -3 to both sides:
[tex](3+|t+4|\)+(-3) \textless \ 10+(-3)[/tex]

[tex]|t+4|\textless \ 7[/tex]

Solve the Absolute Value:

Condition One:
[tex]t+4\ \textgreater \ \ 7[/tex]

Add -4 to both sides:
[tex](t+4)+(-4)\ \textgreater \ \ (7)+(-4)[/tex]

[tex]t\ \textgreater \ \ 3[/tex]

Condition Two:
[tex]t+4\ \textless \ \ -7[/tex]

Add -4 to both sides:
[tex](t+4)+(-4)\ \textless \ \ (-7)+(-4)[/tex]

[tex]t\ \textless \ \ -11[/tex]

The Answer Is:
[tex]\boxed{t\ \textless \ 3} \\ \boxed{t\ \textgreater \ -11}[/tex]

I hope this helped! 
-Benjamin

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