Question

solve for p.
-3 ≤ -7 - p

Explanation:

Step1: Add 7 to both sides

To isolate the term with \( p \), we add 7 to both sides of the inequality. This gives us \(-3 + 7 \leq -7 - p + 7\). Simplifying the left side: \(-3 + 7 = 4\), and the right side: \(-7 + 7 - p = -p\). So the inequality becomes \(4 \leq -p\).

Step2: Multiply both sides by -1 (and reverse inequality)

When we multiply or divide an inequality by a negative number, we must reverse the inequality sign. Multiplying both sides of \(4 \leq -p\) by -1 gives \(-4 \geq p\) (which is the same as \(p \leq -4\)).

Answer:

\( p \leq -4 \)