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6. \( x+96<318 \)

Ask by Mathis Bryant. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

\( x < 222 \)

Solution

Solve the equation \( x+96<318 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(x+96<318\) - step1: Move the constant to the right side: \(x<318-96\) - step2: Subtract the numbers: \(x<222\) The solution to the inequality \( x+96<318 \) is \( x<222 \).

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Bonus Knowledge

To solve the inequality \( x + 96 < 318 \), you want to isolate \( x \). Start by subtracting 96 from both sides of the inequality: \[ x < 318 - 96 \] This simplifies to: \[ x < 222 \] So, the solution tells you that \( x \) can be any number less than 222! Now, think about practical situations where this might apply: if you're planning a get-together and have 222 seats available, knowing that the maximum number of guests must be fewer than 222 helps manage your arrangements efficiently! Additionally, always remember that when manipulating inequalities, if you multiply or divide by a negative number, you must flip the inequality sign. It’s a common oopsie that can lead to unexpected results, so keep that in mind!

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