Sure, let's solve the given inequality step-by-step.
The inequality given is:
[tex]\[ 3n + 8 \geq 35 \][/tex]
Step 1: We need to isolate the term with the variable [tex]\( n \)[/tex]. Start by subtracting 8 from both sides of the inequality.
[tex]\[
3n + 8 - 8 \geq 35 - 8
\][/tex]
Simplifying, we get:
[tex]\[
3n \geq 27
\][/tex]
Step 2: Next, we divide both sides of the inequality by 3 to solve for [tex]\( n \)[/tex].
[tex]\[
\frac{3n}{3} \geq \frac{27}{3}
\][/tex]
Simplifying, we get:
[tex]\[
n \geq 9
\][/tex]
Thus, the solution to the inequality [tex]\( 3n + 8 \geq 35 \)[/tex] is:
[tex]\[
n \geq 9
\][/tex]
This means that [tex]\( n \)[/tex] must be greater than or equal to 9 to satisfy the inequality.
