Respuesta :

Quadrant IV

Explanation:

In this exercise, we have the following inequality:

[tex]y\leq x[/tex]

First of all, we plot the line [tex]y=x[/tex]. Next, since the symbol in this case is "less than (≤)", then the shaded region is below the line. As you can see from the figure below, this region includes the quadrant I, III and IV, but quadrant IV is the only one that is completely shaded.

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Inequalities: https://brainly.com/question/9611462

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In the given graph, the quadrant that is completely shaded is; quadrant IV

When drawing inequality graphs, the symbol ≤ means that we have to shade below the graph line.

Whereas, when the symbol is ≥, it means that we have to shade above the graph line.

Now, in this case we are dealing with y ≤ x. This means that;

We will shade below the line and the only quadrant completely shaded from the attached file is quadrant IV.

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