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4 votes
(05.05 LC)

Which of the following inequalities matches the graph?
10-8-6
Ox≤5
Ox25
Oy≤5
Oy25

User Tbag
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1 Answer

4 votes

The only inequality that matches the graph is Ox ≤ 5.

The graph is shaded above the horizontal line y = 5, which means that for all points in the shaded region, y is greater than or equal to 5.

Here is a breakdown of the other answer choices:

x ≤ 5: This inequality describes the region to the left of the vertical line x = 5. The graph is shaded in a region to the right of the line x = 5, so this inequality does not match the graph.

x ≥ 5: This inequality describes the region to the right of the vertical line x = 5. The graph is shaded in a region to the left of the line x = 5, so this inequality does not match the graph.

y ≤ 5: This inequality describes the region below the horizontal line y = 5. The graph is shaded in a region above the line y = 5, so this inequality does not match the graph.

y > 5: This inequality describes the region above the horizontal line y = 5, but it does not include the line itself. The graph is shaded in a region above the line y = 5 and includes the line, so this inequality does not match the graph.

Therefore, the only inequality that matches the graph is x ≤ 5.

(05.05 LC) Which of the following inequalities matches the graph? 10-8-6 Ox≤5 Ox25 Oy-example-1
User Steven Carr
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7.2k points