Answer :
To solve the inequality [tex]\( f - 24 \leq 71 \)[/tex] for [tex]\( f \)[/tex], follow these steps:
1. Start with the given inequality:
[tex]\( f - 24 \leq 71 \)[/tex].
2. Isolate [tex]\( f \)[/tex] on one side of the inequality:
To do this, add 24 to both sides of the inequality to cancel out the [tex]\(-24\)[/tex] on the left side.
3. Perform the addition on both sides:
[tex]\[
f - 24 + 24 \leq 71 + 24
\][/tex]
This simplifies to:
[tex]\[
f \leq 95
\][/tex]
So, the solution is [tex]\( f \leq 95 \)[/tex].
1. Start with the given inequality:
[tex]\( f - 24 \leq 71 \)[/tex].
2. Isolate [tex]\( f \)[/tex] on one side of the inequality:
To do this, add 24 to both sides of the inequality to cancel out the [tex]\(-24\)[/tex] on the left side.
3. Perform the addition on both sides:
[tex]\[
f - 24 + 24 \leq 71 + 24
\][/tex]
This simplifies to:
[tex]\[
f \leq 95
\][/tex]
So, the solution is [tex]\( f \leq 95 \)[/tex].
