Module 6/7 Summative Assignment

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

What type of line is used to represent '>' or '<' in a graph?

Back

A dashed line is used to represent '>' or '<' in a graph, indicating that points on the line are not included in the solution set.

Front

What type of line is used to represent '≥' or '≤' in a graph?

Back

A solid line is used to represent '≥' or '≤' in a graph, indicating that points on the line are included in the solution set.

Front

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

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the graphical representation of a system of inequalities?

Back

The graphical representation of a system of inequalities is the shaded region on a graph that satisfies all inequalities in the system.

Front

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

Back

If a point lies outside the shaded region, it does not satisfy at least one of the inequalities in the system.

Front

In the context of a movie theater, what does the inequality x + y ≤ 300 represent?

Back

The inequality x + y ≤ 300 represents the maximum number of tickets sold, where x is the number of adult tickets and y is the number of children's tickets.

Front

In the context of a movie theater, what does the inequality 7.5x + 5.5y ≥ 2000 represent?

Back

The inequality 7.5x + 5.5y ≥ 2000 represents the minimum revenue required from ticket sales for each showing.