Solving 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 > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 7 means x is less than or equal to 7.

Front

How do you represent the solution to an inequality on a number line?

Back

You use an open dot for < or > and a closed dot for ≤ or ≥ to indicate whether the endpoint is included.

Front

Is x = 12 a solution to the inequality x > 5?

Back

TRUE, because 12 is greater than 5.

Front

Is x = 9 a solution to the inequality x > 9?

Back

FALSE, because 9 is not greater than 9.

Front

How do you solve the inequality y + 8 ≥ 9?

Back

Subtract 8 from both sides to get y ≥ 1.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides to get 13 ≥ x, which is the same as x ≤ 13.