Graphing Inequalities

Front

What does the inequality y ≥ -2 represent on a graph?

Back

The graph includes all points above the line y = -2, including the line itself, which is solid.

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set (≥ or ≤), while a dotted line indicates that points on the line are not included (> or <).

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y > x + 1?

Back

Graph the line y = x + 1 with a dotted line and shade above the line.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set for the inequality y ≤ 2/5x + 1?

Back

The solution set includes all points on or below the line y = 2/5x + 1.

Tags

CCSS.HSA.REI.D.12

Front

Which of the following points is a solution to the inequality y ≥ x - 1? (0, 0), (1, 0), (2, 1)

Back

(1, 0) is a solution because it satisfies the inequality.

Front

What does the inequality symbol < indicate about the line in a graph?

Back

The line will be dotted, indicating that points on the line are not included in the solution set.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is part of the solution set for an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What is the graphical representation of the inequality y < -3?

Back

The graph includes all points below the line y = -3, with a dotted line.

Tags

CCSS.HSA.REI.D.12

Front

If the inequality is y ≥ -2x + 3, what does the graph look like?

Back

The graph includes the line y = -2x + 3 (solid) and all points above it.

Tags

CCSS.HSA.REI.D.12

Front

What is the slope of the line represented by the inequality y > 3x - 4?

Back

The slope is 3, indicating the line rises 3 units for every 1 unit it moves to the right.