Graph the inequality below on the number line.

Question

a < 7

Answer 1

To graph the inequality \( a < 7 \) on a number line:

1. Draw a number line: Create a horizontal line with arrows on both ends to indicate that it continues infinitely in both directions. Mark several integers on the line, including the number 7.

2. Make a mark at 7: Place a point or a circle at the position of 7.

3. Use an open circle: Since the inequality is \( a < 7 \) (not less than or equal to), use an open circle at 7 to indicate that 7 is not included in the solution.

4. Shade to the left: Shade the portion of the number line to the left of the open circle at 7. This indicates all numbers less than 7 are included in the solution.

The final graph represents all values of \( a \) that satisfy the inequality \( a < 7 \).