7b 11.1-11.2 Exit Ticket

Front

What is a solution set in mathematics?

Back

A solution set is a collection of all the values that satisfy a given mathematical equation or inequality.

Front

What does it mean for a number to be part of a solution set?

Back

A number is part of a solution set if it makes the equation or inequality true when substituted into it.

Front

Given the inequality x < 5, which of the following numbers is in the solution set: 6, 5, 4, 3?

Back

4 and 3 are in the solution set because they are less than 5.

Front

What is the graph of an inequality?

Back

The graph of an inequality shows all the possible solutions on a number line or coordinate plane, often using shading or arrows.

Front

How do you determine if a number is part of a solution set from a graph?

Back

You check if the number lies within the shaded region or on the boundary line of the graph.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

What is the difference between an open and closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution set, while a closed circle indicates that it is included.

Front

If the inequality is x ≤ 3, what does this mean?

Back

It means that x can be any number less than or equal to 3.

Front

What is the purpose of graphing inequalities?

Back

Graphing inequalities helps visualize the range of possible solutions and understand the relationship between variables.