Question

The graph shows a system of inequalities.

Answer 1

The graphed system of inequalities is:

• y ≥ x^2 - 2x - 3
• y ≤ x + 3

So the correct option is the third one.

Which system is represented by the graph?

On the graph we can see that the two lines are solid, so we need to use the symbols ≤ and ≥. (If instead, we had dashed lines, then we would need to use the symbols > and <).

We also can see that the region above the parabola is shaded (the shaded region represents the region of solutions for each inequality), and the region below the line is shaded, then the system of inequalities is of the form:

• y ≥ parabola.
• y ≤ line.

Only with that, we conclude that the correct option is the third option:

• y ≥ x^2 - 2x - 3
• y ≤ x + 3

If you want to learn more about systems of inequalities:

brainly.com/question/9774970

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