Question

graph the inequality below on the number line.
( y geq 7 )

Explanation:

Step1: Identify the inequality type

The inequality is \( y \geq 7 \). For a "greater than or equal to" inequality, we use a closed (filled - in) circle on the number line to represent that the value 7 is included in the solution set.

Step2: Locate the value on the number line

Find the position of 7 on the given number line. The number line has markings for integers from - 11 to 11. The mark corresponding to 7 is clearly visible.

Step3: Draw the arrow

Since \( y \) is greater than or equal to 7, the solution set includes all numbers to the right of 7 (including 7 itself). So, we place a closed circle at 7 and draw an arrow pointing to the right (towards the positive direction, i.e., towards 8, 9, 10, 11, etc.).

Answer:

To graph \( y\geq7 \) on the number line:

1. Place a closed (filled) circle at the point corresponding to 7 on the number line.
2. Draw an arrow starting from the closed circle at 7 and extending to the right (towards the larger numbers like 8, 9, 10, 11, etc.).