Sure! Let's solve the given inequality step-by-step.
We have the inequality:
[tex]\[
\frac{t}{12} + 4 \geq -1
\][/tex]
Step 1: Isolate the term involving [tex]\( t \)[/tex]
Subtract 4 from both sides of the inequality to isolate the term involving [tex]\( t \)[/tex]:
[tex]\[
\frac{t}{12} + 4 - 4 \geq -1 - 4
\][/tex]
Simplifying this, we get:
[tex]\[
\frac{t}{12} \geq -5
\][/tex]
Step 2: Eliminate the denominator
To eliminate the denominator of 12, multiply both sides of the inequality by 12:
[tex]\[
12 \cdot \frac{t}{12} \geq -5 \cdot 12
\][/tex]
Simplifying this, we get:
[tex]\[
t \geq -60
\][/tex]
So, the solution to the inequality is:
[tex]\[
t \geq -60
\][/tex]
Therefore, the correct answer is:
B) [tex]\( t \geq -60 \)[/tex]
