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Graph the inequality below on the number line. \( y \geq-2 \)

Ask by Ramos Carroll. in the United States
Feb 03,2025

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To graph \( y \geq -2 \) on a number line: 1. Draw a horizontal line. 2. Place a closed circle at -2. 3. Shade to the right of -2. This shows all numbers greater than or equal to -2.

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The Deep Dive

To graph the inequality \( y \geq -2 \) on a number line, start by placing a solid dot on the number -2, as the inequality includes -2 (it's "greater than or equal to"). Then, shade the line to the right of -2, indicating all numbers greater than -2 are included in the solution. This visually represents that any value of \( y \) from -2 upwards is valid. When working with inequalities, a common mistake is to use an open dot instead of a closed dot on the number line. Remember, a closed dot means the number itself is part of the solution, while an open dot would suggest it's not. Keep an eye out for those symbols!

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