Question
Weston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?
A. x + 5 > 6
B. x - 0.5 < 0.5
C. x - 1 > 0
D. x + 0.5 > 0.5
A. x + 5 > 6
B. x - 0.5 < 0.5
C. x - 1 > 0
D. x + 0.5 > 0.5
Answers
Answer
The number line is graphed with a closed circle extending from the right to 1
Answered by
GPT-4o mini
To determine which inequality Weston solved based on the graph of the solution on the number line, we would need to analyze each option:
A. \( x + 5 > 6 \) simplifies to \( x > 1 \). This would be graphed as a number line with an open circle at 1, extending to the right.
B. \( x - 0.5 < 0.5 \) simplifies to \( x < 1 \). This would be graphed as a number line with an open circle at 1, extending to the left.
C. \( x - 1 > 0 \) simplifies to \( x > 1 \). This would also be graphed as a number line with an open circle at 1, extending to the right.
D. \( x + 0.5 > 0.5 \) simplifies to \( x > 0 \). This would be graphed as a number line with an open circle at 0, extending to the right.
Without the specific graph that Weston created, we can ascertain:
- If the graph depicts an interval extending to the right from 1, then the solution could either be A or C.
- If the graph depicts an interval extending to the left from 1, then the solution would be B.
- If the graph depicts an interval extending to the right from 0, it would be option D.
To conclude definitively which inequality Weston solved, we need to know how the graph looks. If you can describe the graph or provide specific details, I can help you identify the correct inequality.
A. \( x + 5 > 6 \) simplifies to \( x > 1 \). This would be graphed as a number line with an open circle at 1, extending to the right.
B. \( x - 0.5 < 0.5 \) simplifies to \( x < 1 \). This would be graphed as a number line with an open circle at 1, extending to the left.
C. \( x - 1 > 0 \) simplifies to \( x > 1 \). This would also be graphed as a number line with an open circle at 1, extending to the right.
D. \( x + 0.5 > 0.5 \) simplifies to \( x > 0 \). This would be graphed as a number line with an open circle at 0, extending to the right.
Without the specific graph that Weston created, we can ascertain:
- If the graph depicts an interval extending to the right from 1, then the solution could either be A or C.
- If the graph depicts an interval extending to the left from 1, then the solution would be B.
- If the graph depicts an interval extending to the right from 0, it would be option D.
To conclude definitively which inequality Weston solved, we need to know how the graph looks. If you can describe the graph or provide specific details, I can help you identify the correct inequality.
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