Question

A two-variable inequality is shown in the graph. upward opening parabola which is solid with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve Which point is not included in the solution set for the inequality?

Answer 1

The point among the answer choices which is not in the solution set of the inequality is; (-1, 3).

Which point is not included in the solution set of the inequality?

It follows from the task content that the vertex of the two-variable inequality in discuss is; (1, 2).

On this note, it follows that; the two variable inequality described by a parabola opening upward can be written by means of its vertex as;

y >= (x - (1))² + 2

y >= (x-1)² + 2.

By testing points among the answer choices, the point which is not part of the solution set is; (-1,3).

This follows from the fact that; at x=-1;

The value of y is;

y >= (-1-1)² +2

y >= 6

Hence, since the value of y= 3 which is less than, 6, it follows that the point (-1,3) is not in the solution set.

Remarks: The answer choices in the complete question are as follows;

(–1, 3)

(0, 4)

(1, 5)

(2, 4)

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