Answer
$f\leq3$
Work Step by Step
$5f+7\leq22$ $\longrightarrow$ subtract 7 from both sides
$5f+7-7\leq22-7$ $\longrightarrow$ simplify
$5f\leq15$ $\longrightarrow$ divide both sides by 5
$5f\div5\leq15\div5$ $\longrightarrow$ simplify
$f\leq3$
Check the endpoint
$5(3)+7=22$
$15+7=22$
$22=22\checkmark$
Check the inequality.
$5(1)+7\lt22$
$5+7\lt22$
$12\lt22\checkmark$