Question

question 8 graph the inequality below on the number line. b≤4

Explanation:

Step1: Analyze the inequality

The inequality is \( b \leq 4 \). This means we need to represent all real numbers less than or equal to 4 on the number line.

Step2: Determine the type of dot

Since the inequality is "less than or equal to", we use a closed (filled - in) dot at \( b = 4 \) to indicate that 4 is included in the solution set.

Step3: Draw the line

From the closed dot at 4, we draw a line to the left (towards negative infinity) to represent all numbers less than 4.

Answer:

To graph \( b\leq4 \):

1. Locate the number 4 on the number line.
2. Place a closed (filled) dot at 4 (because the inequality includes equality, \( b = 4 \) is part of the solution).
3. Draw a line extending to the left from the dot at 4 to represent all numbers less than 4.