how do you put y ≥ 2 on a number line

Answer 1

To represent the inequality \( y \geq 2 \) on a number line, follow these steps:

1. Draw a Number Line: Start by drawing a horizontal line. Mark points on this line to represent numbers, including the number 2.

2. Determine the Point for 2: Locate the point where 2 is on the number line.

3. Use a Closed Circle: Since the inequality is \( y \geq 2 \), you need to include the number 2 in your solution. Place a closed circle (or dot) on the point 2 to indicate that 2 is included in the solution.

4. Shade to the Right: To represent all numbers greater than 2, shade the portion of the number line to the right of the closed circle at 2. This indicates that all numbers greater than or equal to 2 are part of the solution.

The final representation will show a closed circle at 2 and a shaded area extending to the right, indicating all values greater than or equal to 2.