Question

Graph the solution set of the inequality on a number line and then write it in interval notation ((x ≤3)).

Select the correct graph below.

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answer 1

In order to graph the inequality x ≤ 3 on a number line, make a filled circle at 3 and shade the portion to the left. The solution set in interval notation is (-∞, 3], which is Graph A.

The answer is option ⇒A. Graph A

Step-by-step explanation:

To graph the solution set of the inequality x ≤ 3 on a number line and write it in interval notation, we can follow these steps:

• 1. Draw a number line with zero (0) in the middle.
• 2. Mark the point 3 on the number line.
• 3. Shade the region to the left of the point 3 since the inequality x ≤ 3 includes all values less than or equal to 3.
• 4. Indicate that the point 3 is included in the solution set by making it a filled circle or square on the number line.
• 5. Write the solution set in interval notation.

- Since the shaded region includes all values less than or equal to 3, we can write the solution set as (-∞, 3].

Based on these steps, the correct graph would be Graph A, which correctly shows the shaded region to the left of the point 3 and includes a filled circle or square at the point 3.

The answer is option ⇒A. Graph A