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Solve \( 9 y \leq 16+7 y \)

Ask by Clark Watkins. in the United Kingdom
Feb 03,2025

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\( y \leq 8 \)

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To solve the inequality \( 9y \leq 16 + 7y \), start by isolating \( y \) on one side. Subtract \( 7y \) from both sides: \[ 9y - 7y \leq 16 \] This simplifies to: \[ 2y \leq 16 \] Next, divide both sides by 2: \[ y \leq 8 \] So the solution to the inequality is \( y \leq 8 \). Now you know that \( y \) can take any value that is less than or equal to 8, and it’s a crucial skill to work with inequalities! Also, when working with inequalities, remember that if you multiply or divide by a negative number, you must flip the inequality sign. It's like a little dance move you have to remember in your math routine! So, happy solving!

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