Question

Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y 2 and ys x
B. x>2 and yz x
C. x22 and y> x
D. y 22 and y

Answer 1

The system is:

y < x

y ≥  2

So we conclude that the correct option is D.

Which system of inequalities is represented in the graph?

On the graph, we can see two lines. One with a positive slope that is dashed.

And a solid line that is constant of the form y = c.

We can see that the shaded region is above the constant line and below the line with a positive slope, so the system of inequalities is of the form:

• y < line.
• y ≥ constant line (≥ is used because this line is solid).

The only option that has this form is option d:

y < x

y ≥  2

So we conclude that the correct option is D.

If you want to learn more about systems of inequalities:

https://brainly.com/question/9774970

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