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9. Drag and drop the inequality or equation sign based on the key words listed! \( x \) is greater than or equal to \( 20: \) \( x \) is 20 : \( x \) is fewer than \( 20: \) \( x \) is at most \( 20: x \leq 20 \) © \( x \) is more than \( 20: \) Drag and drop the correct choice into the blank spaces above \( :: x>20 \) \( :: x x^{20}:: x<20 \) \( :: x \geq 20 \)

Ask by Savage Park. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

- \( x \geq 20 \) - \( x = 20 \) - \( x < 20 \) - \( x \leq 20 \) - \( x > 20 \)

Solution

Let's analyze each statement and determine the appropriate inequality or equation sign to use: 1. **\( x \) is greater than or equal to \( 20: \)** This means \( x \) can be \( 20 \) or any value greater than \( 20 \). The correct sign is: **\( x \geq 20 \)** 2. **\( x \) is \( 20: \)** This indicates that \( x \) is exactly \( 20 \). The correct sign is: **\( x = 20 \)** 3. **\( x \) is fewer than \( 20: \)** This means \( x \) can be any value less than \( 20 \). The correct sign is: **\( x < 20 \)** 4. **\( x \) is at most \( 20: x \leq 20 \)** This means \( x \) can be \( 20 \) or any value less than \( 20 \). The correct sign is: **\( x \leq 20 \)** (This is already provided in the statement.) 5. **\( x \) is more than \( 20: \)** This means \( x \) can be any value greater than \( 20 \). The correct sign is: **\( x > 20 \)** Now, let's summarize the correct choices for each statement: - \( x \) is greater than or equal to \( 20: \) **\( x \geq 20 \)** - \( x \) is \( 20: \) **\( x = 20 \)** - \( x \) is fewer than \( 20: \) **\( x < 20 \)** - \( x \) is at most \( 20: x \leq 20 \) **(already provided)** - \( x \) is more than \( 20: \) **\( x > 20 \)** Now, we can fill in the blanks: 1. \( x \geq 20 \) 2. \( x = 20 \) 3. \( x < 20 \) 4. \( x \leq 20 \) (already provided) 5. \( x > 20 \) Thus, the final arrangement is: - \( x \geq 20 \) - \( x = 20 \) - \( x < 20 \) - \( x \leq 20 \) - \( x > 20 \)

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Bonus Knowledge

For the statement \( x \) is greater than or equal to \( 20 \): \( :: x \geq 20 \) For the statement \( x \) is 20: \( :: x = 20 \) For the statement \( x \) is fewer than \( 20 \): \( :: x < 20 \) For the statement \( x \) is at most \( 20: x \leq 20 \) remains unchanged. For the statement \( x \) is more than \( 20: \): \( :: x > 20 \) Great job working with inequalities! Understanding how to translate words into mathematical expressions can help when working in various fields, like finance, where inequalities determine budget limits or profit margins. You’re not just learning math; you’re gaining tools for real-life scenarios!

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