Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

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

Back

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

Front

How is an open circle used in graphing inequalities?

Back

An open circle is used to indicate that the endpoint is not included in the solution set of the inequality.

Front

How is a closed circle used in graphing inequalities?

Back

A closed circle is used to indicate that the endpoint is included in the solution set of the inequality.

Front

What does the inequality 'x < 3' represent on a number line?

Back

The inequality 'x < 3' represents all numbers less than 3, graphed with an open circle at 3.

Front

What does the inequality 'h ≥ 48' represent in a real-world context?

Back

The inequality 'h ≥ 48' means that a person's height must be at least 48 inches.

Front

What is the graphical representation of the inequality '11 ≤ a'?

Back

The graphical representation of '11 ≤ a' is a closed circle at 11, with a line extending to the right.

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.

Front

How do you solve a simple inequality like '2x + 3 < 7'?

Back

To solve '2x + 3 < 7', subtract 3 from both sides to get '2x < 4', then divide by 2 to find 'x < 2'.