Question

19 - 4p < 55

Explanation:

Step1: Subtract 19 from both sides

To isolate the term with \( p \), we subtract 19 from both sides of the inequality \( 19 - 4p < 55 \). This gives us \( 19 - 19 - 4p < 55 - 19 \), which simplifies to \( -4p < 36 \).

Step2: Divide by -4 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. Dividing both sides of \( -4p < 36 \) by -4 gives \( p > \frac{36}{-4} \), which simplifies to \( p > -9 \).

Answer:

\( p > -9 \)