Graphing systems of Inequalities

Front

An inequality using a > or a < has a ___________ line

Back

dashed

Front

If I have a system of parallel inequalities, the answer is always no solution?

Back

False, the shaded regions could overlap

Front

Which ordered pair(s) is a solution to the given system? (5,0), (1,-3), (3,3), (2,1)

Back

(5,0)

Front

Given the system, determine a solution: No solution, Infinite solutions, (-5, 5), (5, -5)

Back

No solution

Front

Which system of inequalities matches the graph? y > 2x - 4, y < 2, y < 2x - 4, y < -2

Back

y > 2x - 4, y < 2

Front

What does the shaded region represent in a graph of inequalities?

Back

The set of all possible solutions that satisfy the 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 (≥ or ≤), while a dashed line indicates they are not (> or <).

Front

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

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What does it mean if two inequalities have no overlapping shaded region?

Back

It means there is no solution to the system of inequalities.

Front

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

Back

A horizontal line at y=3 with a dashed line and shading below the line.