To solve the inequality [tex]\( f - 8 \leq 29 \)[/tex] for [tex]\( f \)[/tex], follow these steps:
1. Isolate [tex]\( f \)[/tex]: To isolate [tex]\( f \)[/tex], we need to eliminate the constant term on the left side of the inequality. We will do this by adding 8 to both sides of the inequality.
[tex]\[
f - 8 \leq 29
\][/tex]
[tex]\[
f - 8 + 8 \leq 29 + 8
\][/tex]
2. Simplify the inequality: On the left side, [tex]\(-8 + 8\)[/tex] equals 0, so we simply have [tex]\( f \)[/tex]. On the right side, [tex]\(29 + 8\)[/tex] equals 37.
[tex]\[
f \leq 37
\][/tex]
Therefore, the correct solution to the inequality is [tex]\( f \leq 37 \)[/tex].
The correct option is:
A) [tex]\( f \leq 37 \)[/tex]
