Write an inequality for the graph shown below.

Question

-10
-8
-6
-4
-2
0
2
4
6
8
10
Question content area bottom
Part 1
Choose the correct answer below.
A.
xgreater than or equals5
B.
xgreater than5
C.
xless than or equals5
D.
xless than5

Answer 1

To choose the correct inequality from the given options, we need to understand the graph in question. Based on the options, it appears that we are dealing with a vertical line at \( x = 5 \).

• If the graph is a line that includes all the points to the right of \( x = 5 \), the inequality would be \( x \geq 5 \).
• If the graph is a line that includes only points greater than \( x = 5 \) (excluding the line itself), the inequality would be \( x > 5 \).
• If the graph includes all the points to the left of \( x = 5 \), the inequality would be \( x \leq 5 \).
• If the graph includes only points less than \( x = 5 \) (excluding the line itself), the inequality would be \( x < 5 \).

Since I cannot see the graph, choose the option that best matches the direction where the shading or points extend. Based on the standard cases:

• If the graph includes the line \( x = 5 \) and goes to the right, then choose A \( x \geq 5 \).
• If it includes the line \( x = 5 \) but goes to the left, then choose C \( x \leq 5 \).
• If it excludes the line and goes to the right, then choose B \( x > 5 \).
• If it excludes the line and goes to the left, then choose D \( x < 5 \).

Please confirm the direction of the line and shading to select the correct answer.