To solve the inequality [tex]\( 3t + 9 \geq 15 \)[/tex], we need to isolate the variable [tex]\( t \)[/tex]. Here's a step-by-step solution:
1. Subtract 9 from both sides:
[tex]\[
3t + 9 - 9 \geq 15 - 9
\][/tex]
Simplifying this, we get:
[tex]\[
3t \geq 6
\][/tex]
2. Divide both sides by 3 to solve for [tex]\( t \)[/tex]:
[tex]\[
\frac{3t}{3} \geq \frac{6}{3}
\][/tex]
Simplifying this, we get:
[tex]\[
t \geq 2
\][/tex]
So, the solution to the inequality [tex]\( 3t + 9 \geq 15 \)[/tex] is [tex]\( t \geq 2 \)[/tex].
