Nov. 21st Inequalities in Real-World Scenarios

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

How do you represent a situation where a player must score at least a certain number of points?

Back

You use the '≥' symbol to indicate that the score must be greater than or equal to that number.

Front

In the context of inequalities, what does 'x + y < 10' signify?

Back

It signifies that the total number of shots (x + y) must be less than 10.

Front

What is the significance of the inequality '2x + 3y ≥ 20' in a scoring scenario?

Back

It indicates that the total points scored from 2-point shots (2x) and 3-point shots (3y) must be at least 20.

Front

How do you express a maximum limit in inequalities?

Back

You express a maximum limit using the '<' or '≤' symbols.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables.

Front

How do you determine the feasible region in a system of inequalities?

Back

The feasible region is determined by graphing the inequalities and finding the area where all conditions are satisfied.

Front

What does the inequality 'x + y ≤ 300' represent in a seating scenario?

Back

It represents that the total number of adults (x) and children (y) must not exceed 300 seats.