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\begin{tabular}{l} Which of the following is a solution to the inequality below? \\ \( -32>6 q \) \\ \( q=-6 \) \\ Submit \\ \hline\( q=-3 \)\end{tabular}

Ask by Moran Vargas. in the United States
Mar 09,2025

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\( q = -6 \) is the solution to the inequality \( -32 > 6q \).

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To check which value is a solution to the inequality \( -32 > 6q \), we can substitute each option into the inequality. For \( q = -6 \): \( 6 \times -6 = -36 \), and \( -32 > -36 \) is true! For \( q = -3 \): \( 6 \times -3 = -18 \), and \( -32 > -18 \) is false. Thus, the correct solution is \( q = -6 \) because it satisfies the inequality! When solving inequalities, it can be handy to multiply or divide both sides by negative numbers. However, remember, doing so flips the inequality sign! So, always keep that in mind to avoid common mistakes!

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