Question
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Answer
\( p \geq 29 \)
Solution
We are given the inequality: -3p ≤ -87.
Step 1: Divide both sides by -3. Remember, when you divide (or multiply) an inequality by a negative number, you must reverse the inequality sign.
Dividing both sides by -3 gives:
p ≥ (-87)/(-3)
Step 2: Simplify the right-hand side:
(-87)/(-3) = 29
Thus, the solution is:
p ≥ 29.
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Simplify this solution Bonus Knowledge
To solve the inequality \( -3p \leq -87 \), start by dividing both sides by -3. Remember, when you divide or multiply an inequality by a negative number, you must flip the inequality sign! So it becomes \( p \geq 29 \). This means that any value of \( p \) that is 29 or greater will satisfy the inequality. In practical terms, think of this as needing to have at least 29 puppies if you’re hosting a puppy party! More than that, and you’ll really be the talk of the town!
