Question

Graph the inequality below on the number line. b<7

Answer 1

To graph the inequality b<7, draw a number line, mark the point for 7 with an open circle, and shade to the left of that point to represent all numbers less than 7.

Step-by-step explanation:

To graph the inequality b<7 on the number line, follow these steps:

1. Draw a horizontal line to represent the number line.
2. Mark a point on the number line where the number 7 would be located.
3. Because the inequality is b<7, and not b≤7 (less than or equal to), draw an open circle around the 7 to indicate that 7 is not included in the solution set.
4. Shade or draw a line to the left of the open circle to represent all the numbers less than 7, which are solutions to the inequality.

The graph shows that any number to the left of the open circle (to the left of 7) is a solution to the inequality, denoting all values of b that are less than 7.