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?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, 7 ≥ 7 means 7 is greater than or equal to 7.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, 3 ≤ 5 means 3 is less than or equal to 5.

Front

How do you graph an inequality like 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 solve the inequality 3x < 12?

Back

To solve 3x < 12, divide both sides by 3: x < 4.

Front

What is a solution set in inequalities?

Back

A solution set is the set of all values that satisfy the inequality. For example, the solution set for x < 4 is all numbers less than 4.

Front

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

Back

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

Front

True or False: The inequality x ≤ 5 includes the number 5.

Back

True. The inequality x ≤ 5 means x can be 5 or any number less than 5.