Graphing Systems of Inequalities

Front

What symbols indicate the use of a solid line when graphing an inequality?

Back

≤, ≥

Front

Is the point (-2, 4) a solution to the system of inequalities?

Back

Solution

Front

Which of the following is not a solution to the system of inequalities: (0,-1), (0,3), (4,0), (6,-2)?

Back

(0,-1)

Front

Write the inequalities represented by the graph: A region above the line y = x - 3 and below the line y = -2.

Back

y ≥ -2, y ≤ x - 3

Front

Which system of inequalities matches the graph showing a shaded area above the line y = 2x - 4 and below the line y = 2?

Back

y > 2x - 4, y < 2

Front

What does it mean if a point lies in the shaded region of a graph of inequalities?

Back

The point is a solution to the system of inequalities.

Front

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

Back

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

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point's coordinates into each inequality; if all inequalities are satisfied, it is a solution.

Front

What is the graphical representation of the inequality y < 2?

Back

A horizontal line at y = 2 with a dashed line and shading below the line.

Front

How do you graph the inequality y ≥ 3?

Back

Draw a solid horizontal line at y = 3 and shade above the line.