Solutions to Systems of Inequalities- Graphs!

Front

What is a solution to a system of inequalities?

Back

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

Front

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

Back

Yes, (0,0) is a solution if it satisfies all inequalities.

Front

What must be true for a point to be considered a solution to a system of inequalities?

Back

The point must satisfy all inequalities in the system.

Front

Which of the following points is NOT a solution to the system? (1, 3), (-1, 2), (3, -2), (5, 0)

Back

(-1, 2) is not a solution.

Front

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

Back

No, (5, 2) does not satisfy both inequalities.

Front

What does a dotted line represent in the graph of an inequality?

Back

A dotted line indicates that points on the line are not included in the solution set.

Front

What does a solid line represent in the graph of an inequality?

Back

A solid line indicates that points on the line are included in the solution set.

Front

What is the significance of shaded regions in the graph of inequalities?

Back

Shaded regions represent all the solutions to the inequalities.

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 and check if all are satisfied.

Front

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

Back

The area below the line y = x - 2 is shaded.