Question

1. -p - 4p > -10

Explanation:

Step1: Combine like terms

Combine \(-p\) and \(-4p\) to get \(-5p\). So the inequality becomes \(-5p > -10\).

Step2: Solve for \(p\)

Divide both sides of the inequality by \(-5\). Remember that when dividing by a negative number, the inequality sign flips. So we have \(p < \frac{-10}{-5}\), which simplifies to \(p < 2\).

Answer:

\(p < 2\) (On the number line, this is represented by an open circle at 2 and an arrow pointing to the left towards negative infinity, covering numbers like 0, 1, -1, etc.)