Question

solve for p.
59 > 7(p - 21) + 31

Explanation:

Step1: Subtract 31 from both sides

To isolate the term with \( p \), we first subtract 31 from both sides of the inequality \( 59 > 7(p - 21) + 31 \).

$$ 59 - 31 > 7(p - 21) + 31 - 31 $$

$$ 28 > 7(p - 21) $$

Step2: Divide both sides by 7

Next, we divide both sides of the inequality by 7 to further isolate the expression containing \( p \).

$$ \frac{28}{7} > \frac{7(p - 21)}{7} $$

$$ 4 > p - 21 $$

Step3: Add 21 to both sides

Finally, we add 21 to both sides of the inequality to solve for \( p \).

$$ 4 + 21 > p - 21 + 21 $$

$$ 25 > p $$

Which can also be written as \( p < 25 \).

Answer:

\( p < 25 \)