Question

Which system of inequalities is represented by the graph?

A. y≥1
y−x>0
B. y≤1
y−x 0
2. Which system of inequalities is represented by the graph?

Answer 1

B, D

Explanation:

1. The shaded area is below the solid line at y=1, so the solution set is partially determined by the inequality ...

y ≤ 1 . . . . . . values of y in the solution set are less than or equal to 1

The shaded area is below the line y=x, so is partially determined by ...

y -x < 0

These inequalities match the second choice.

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2. The solid boundary line has a slope, rise/run, of 1/3. The shaded area is below it. So the applicable inequality is ...

y ≤ 1/3x +6 . . . . . . matches the fourth choice