Questions: Which set describes the graph? x x<4 x x>4 x x ≤ 4 x x=4

Transcript text: Which set describes the graph? $\{x \mid x<4\}$ $\{x \mid x>4\}$ $\{x \mid x \leq 4\}$ $\{x \mid x=4\}$

Solution

Solution Steps

Step 1: Analyze the graph

The graph shows a number line with a green ray starting at 4 and extending to the right. There is an open circle at 4, indicating that 4 is not included in the set.

Step 2: Determine the inequality

Since the ray extends to the right of 4, the values of x are greater than 4. The open circle at 4 signifies that x is strictly greater than 4, not equal to 4. Therefore, the inequality is x > 4.

Step 3: Write the set notation

The set notation for x > 4 is {x | x > 4}.