Exit Ticket - Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle at 2, and shade to the right to indicate all numbers greater than 2.

Front

How do you graph the inequality x ≤ 3?

Back

To graph x ≤ 3, draw a number line, place a closed circle at 3, and shade to the left to indicate all numbers less than or equal to 3.

Front

What is a compound inequality?

Back

A compound inequality consists of two inequalities joined by 'and' or 'or'. For example, 1 < x < 5 is a compound inequality.

Front

How do you solve the compound inequality 2 < x + 3 < 7?

Back

To solve, subtract 3 from all parts: -1 < x < 4. This means x is greater than -1 and less than 4.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.