Questions: Graph the inequality on a number line. x > 2 Choose the graph of the inequality A. [Number line graph with open circle at 2 and arrow pointing right] B. [Number line graph with closed circle at 2 and arrow pointing right] C. [Number line graph with open circle at 2 and arrow pointing left] D. [Number line graph with closed circle at 2 and arrow pointing left]

Graph the inequality on a number line.

x > 2

Choose the graph of the inequality

A. [Number line graph with open circle at 2 and arrow pointing right]
B. [Number line graph with closed circle at 2 and arrow pointing right]
C. [Number line graph with open circle at 2 and arrow pointing left]
D. [Number line graph with closed circle at 2 and arrow pointing left]

Transcript text: Graph the inequality on a number line. x > 2 Choose the graph of the inequality A. [Number line graph with open circle at 2 and arrow pointing right] B. [Number line graph with closed circle at 2 and arrow pointing right] C. [Number line graph with open circle at 2 and arrow pointing left] D. [Number line graph with closed circle at 2 and arrow pointing left]

Solution

Solution Steps

To graph the inequality \( x > 2 \) on a number line, we need to represent all numbers greater than 2. This is done by placing an open circle at 2 (indicating that 2 is not included) and drawing an arrow to the right to show all numbers greater than 2.

Step 1: Understand the Inequality

The given inequality is \( x > 2 \). This means that \( x \) can be any number greater than 2, but not equal to 2.

Step 2: Determine the Type of Circle

Since the inequality is strictly greater than (i.e., \( x > 2 \)), we use an open circle to indicate that 2 is not included in the solution set.

Step 3: Determine the Direction of the Arrow

The inequality \( x > 2 \) indicates that the values of \( x \) are greater than 2. Therefore, the arrow on the number line should point to the right, indicating all numbers greater than 2.