To determine which inequality Weston solved based on the graph you mentioned, we would need to interpret how the solution is presented on the number line. Typically, a number line graph will indicate whether the interval includes endpoints (closed dot for ≥ or ≤) or not (open dot for > or <), and whether the interval extends toward positive or negative infinity.
Here's a brief analysis of each option:
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m + 0.5 ≥ 0.5: This simplifies to m ≥ 0. This would be represented by a closed dot at 0 and shading to the right.
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m + 5 ≥ 6: This simplifies to m ≥ 1. This would be represented by a closed dot at 1 and shading to the right.
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m − 0.5 ≤ 0.5: This simplifies to m ≤ 1. This would be represented by a closed dot at 1 and shading to the left.
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m − 1 > 0: This simplifies to m > 1. This would be represented by an open dot at 1 and shading to the right.
Without the image, we can only analyze these inequalities theoretically. If the graph had a closed dot at 1 and shaded to the left, the answer would be option 3. If the graph had a closed dot at 0 and shaded to the right, option 1 would be correct. For an open dot at 1 and shading to the right, option 4 is the answer, and for a closed dot at 1 and shading to the right, option 2 would be correct.
Please compare the characteristics of the graph with the descriptions above to identify the correct inequality.
1 answer