Question

1. 2.8 < -1.3p - 0.5

Explanation:

Step1: Add 0.5 to both sides

To isolate the term with \( p \), we add \( 0.5 \) to both sides of the inequality \( 2.8 < -1.3p - 0.5 \). This gives us \( 2.8 + 0.5 < -1.3p - 0.5 + 0.5 \), which simplifies to \( 3.3 < -1.3p \).

Step2: Divide both sides by -1.3 (and reverse inequality)

When we divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \( 3.3 < -1.3p \) by \( -1.3 \), we get \( \frac{3.3}{-1.3} > p \). Calculating \( \frac{3.3}{-1.3} \approx -2.538 \), so the inequality simplifies to \( p < -2.54 \) (rounded to two decimal places).

Answer:

\( p < -2.54 \) (or more precisely \( p < -\frac{33}{13} \approx -2.538 \))