1.Which of the following best describes the graph of x > 2 ?
A. Closed dot at x = 2, and shading to the right
B. Closed dot at x = 2, and shading to the left
C. Open dot at x = 2, and shading to the right
D. Open dot at x = 2, and shading to the left
open dot, means that point is not allowed.
c is the correct answer.
The correct answer is C. Open dot at x = 2, and shading to the right.
To determine the correct description of the graph of the inequality x > 2, we need to understand how to represent this inequality on a number line.
First, we need to consider the inequality symbol ">". The ">" symbol indicates that the value of x is greater than 2.
To represent this on a number line, we start by marking a closed dot at 2, as it is not included in the solution set. Since the inequality is x > 2, the dot is closed to indicate that 2 is not part of the solution.
Next, we shade the region to the right of the closed dot. This is because any value of x greater than 2 satisfies the inequality.
Now, let's compare the given options:
A. Closed dot at x = 2, and shading to the right: This option correctly describes the graph of x > 2. It indicates that the graph includes a closed dot at 2 and is shaded to the right.
B. Closed dot at x = 2, and shading to the left: This option is incorrect because it indicates a shading to the left, which does not represent the solution to x > 2.
C. Open dot at x = 2, and shading to the right: This option is incorrect because it represents an open dot at 2, meaning 2 is included in the solution set, which contradicts the inequality x > 2.
D. Open dot at x = 2, and shading to the left: This option is incorrect because it represents an open dot at 2, meaning 2 is included in the solution set, which contradicts the inequality x > 2.
Therefore, the correct option is A. Closed dot at x = 2, and shading to the right.