To solve the inequality \( 28 > 4 - 2p \), we first rearrange it to isolate the variable \( p \).
- Subtract \( 4 \) from both sides:
\[ 28 - 4 > -2p \]
\[ 24 > -2p \]
- Now, divide both sides by \(-2\). Remember that when you divide or multiply by a negative number, you need to flip the inequality sign:
\[ \frac{24}{-2} < p \]
\[ -12 < p \]
This can also be written in interval notation as \( p > -12 \).
Thus, the solution to the inequality is:
\[ {p | p > -12} \]
Therefore, the correct answer is:
\({p | p > -12}\)
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