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Write and Solve Inequalities - Quiz - Level F (1)) Which value is a solution of the inequality \( \frac{1}{4} y \geq 8 \) ? \( 8 \square 16 \square 24 \square 32 \)

Ask by Vaughn Gibson. in the United States
Mar 01,2025

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32 is the solution to the inequality \( \frac{1}{4} y \geq 8 \).

Solución

Step 1: Start with the inequality:   (1/4)y ≥ 8 Step 2: Multiply both sides of the inequality by 4 to eliminate the fraction:   y ≥ 8 × 4   y ≥ 32 Step 3: Compare the obtained result with the provided answer options:   Options: 8, 16, 24, 32 Since y must be at least 32, the only value from the list that satisfies the inequality is 32.

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To solve the inequality \( \frac{1}{4} y \geq 8 \), first multiply both sides by 4: \[ y \geq 32 \] Now, looking at the options: \( 8, 16, 24, 32 \), the value that satisfies this inequality is \( 32 \). Therefore, the correct answer is \( 32 \). Now, celebrating the journey of inequalities, did you know that inequalities have been used since ancient times? The ancient Greeks explored the concept of limits, which laid the groundwork for later mathematical inequalities, making it a timeless aspect in mathematics! In terms of real-world applications, inequalities play a crucial role in finance, particularly in budgeting. They help individuals determine how much they can spend while still meeting certain savings goals. For instance, if you need to save at least $200 by the end of the month, you can set up an inequality to track your spending and ensure you stay on track.

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