2. Solve for \( p \). \( -9 p \geq 40.5 \)
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The Deep Dive
To solve for \( p \), we start with the inequality \( -9p \geq 40.5 \). First, we divide both sides by -9. Remember that when we divide by a negative number, we have to flip the inequality sign. So, we get \( p \leq -\frac{40.5}{9} \). Simplifying that, we find \( p \leq -4.5 \). There you have it, \( p \) is less than or equal to -4.5! Moreover, just to reinforce your understanding, remember that solving inequalities is just like solving equations, with the added twist of flipping that inequality sign when dividing or multiplying by negative numbers. So, keep an eye out for that!