Flashcard 5-3 Review

Front

Is (0,0) a solution to the system?

Back

Yes, (0,0) is a solution to the system.

Front

What is the inequality represented by the graph?

Back

y > -x - 1 and y ≥ x + 4

Front

Is (5, 2) a solution to the system? 2x + 4y < 20, 3x - 2y > 11

Back

No, (5, 2) is not a solution to the system.

Front

Select the correct graph for the inequality y ≥ -x - 1.

Back

Graph A is the correct representation.

Front

Are the points on the boundary line part of the solution set?

Back

Yes, the points on the boundary line are part of the solution set.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

What is the significance of the boundary line in inequalities?

Back

The boundary line indicates the limits of the solution set; points on the line may or may not be included based on the inequality.

Front

What does the inequality y < x + 4 represent graphically?

Back

It represents the area below the line y = x + 4.

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 is the difference between '>' and '≥' in inequalities?

Back

'>' means the boundary is not included, while '≥' means the boundary is included.