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To solve the inequality \( 6 > p \div (-0.5) \), first, we can rewrite it as \( 6 > -2p \) by multiplying both sides by -0.5. Remember, when you multiply or divide by a negative number, you flip the inequality sign! Now, divide both sides by -2, which changes the sign again, resulting in \( p < -3 \). So, all values of \( p \) that are less than -3 satisfy the original inequality. To visualize this on a number line, you'd shade everything to the left of -3, showing all the possible solutions for \( p \). Isn't math a fun puzzle?
