To analyze the inequality \( y \leq 8 \) and its graph, let's evaluate each statement:
A. y = 8 is part of the solution set.
True. Since the inequality includes the equal sign, \( y = 8 \) is part of the solution set.
B. There is a closed circle on the graph at 8.
True. The graph of \( y \leq 8 \) would have a closed circle at the point (8) on the y-axis to indicate that the point is included in the solution set.
C. The arrow on the graph points left.
False. The graph of \( y \leq 8 \) represents all values of \( y \) that are less than or equal to 8, which means the arrow would point downward, not left.
D. There is an open circle on the graph at 8.
False. Since \( y = 8 \) is included in the solution set, there would not be an open circle at that point.
E. The arrow on the graph points right.
False. The graph represents \( y \leq 8 \), so it does not point to the right; instead, it encompasses all y-values less than or equal to 8, directed downward.
F. y = 10 is part of the solution set.
False. The statement is not true because \( y = 10 \) is greater than 8 and does not satisfy the inequality \( y \leq 8 \).
G. y = 0 is part of the solution set.
True. The value \( y = 0 \) is less than 8, so it satisfies the inequality \( y \leq 8 \).
Based on the evaluations, the four correct statements are:
- A. y = 8 is part of the solution set.
- B. There is a closed circle on the graph at 8.
- G. y = 0 is part of the solution set.
Since there are only three correct answers identified based on the evaluation alone, it seems an additional option is needed or there might be confusion in options. It would be best to double-check the list of options provided.
3 answers