To solve the inequality [tex]\(3n + 8 \geq 35\)[/tex], follow these steps:
1. Isolate the term with the variable [tex]\( n \)[/tex]:
Subtract 8 from both sides of the inequality to eliminate the constant term on the left side.
[tex]\[
3n + 8 - 8 \geq 35 - 8
\][/tex]
Simplifying that gives:
[tex]\[
3n \geq 27
\][/tex]
2. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], divide both sides of the inequality by 3.
[tex]\[
\frac{3n}{3} \geq \frac{27}{3}
\][/tex]
Simplifying that gives:
[tex]\[
n \geq 9
\][/tex]
Therefore, the solution to the inequality [tex]\(3n + 8 \geq 35\)[/tex] is:
[tex]\[ n \geq 9 \][/tex]
