Let's analyze the statement \( y \leq 8 \) and its implications for the graph:
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A. y = 8 is part of the solution set.
- True: The inequality includes equality, which means that \( y = 8 \) is part of the solution set.
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B. There is a closed circle on the graph at 8.
- True: Since \( y = 8 \) is included in the solution set, there will be a closed circle (or solid dot) at the point where \( y = 8 \).
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C. The arrow on the graph points left.
- False: Since this is a vertical line (all points have the same x-coordinate), the graph will show a horizontal line that extends downward (not left).
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D. There is an open circle on the graph at 8.
- False: Because \( y = 8 \) is included in the solution set, there is a closed circle, not an open circle.
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E. The arrow on the graph points right.
- False: Similar to C, the graph represents a vertical line, and the extended portion does not point right.
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F. y = 10 is part of the solution set.
- False: Since \( y \) must be less than or equal to \( 8 \), \( y = 10 \) is not part of the solution set.
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G. y = 0 is part of the solution set.
- True: Since \( 0 \) is less than \( 8 \), it is included in the solution set.
Based on this analysis, the true 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.
So, the four correct statements about the graph are:
- A
- B
- G
- D and C and E and F are not correct.
3 answers