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solve for f. -40f > 7(-f - 99) write your answer with f first, followed…

Question

solve for f. -40f > 7(-f - 99) write your answer with f first, followed by an inequality symbol.

Explanation:

Step1: Expand the right - hand side

$-40f>7\times(-f)-7\times99$
$-40f > - 7f-693$

Step2: Add $7f$ to both sides

$-40f + 7f>-7f + 7f-693$
$-33f>-693$

Step3: Divide both sides by $-33$ and reverse the inequality sign

$f<\frac{-693}{-33}$
$f < 21$

Answer:

$f<21$