Adding and Subtracting 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, or not equal to the other.

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '>' mean in inequalities?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

How do you solve the inequality -4 + y < -8?

Back

To solve -4 + y < -8, add 4 to both sides: y < -4.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

To solve x + 5 ≤ 13, subtract 5 from both sides: x ≤ 8.

Front

What does a closed dot on a number line represent?

Back

A closed dot represents that the number is included in the solution, used for '≤' or '≥'.

Front

What does an open dot on a number line represent?

Back

An open dot represents that the number is not included in the solution, used for '<' or '>'.

Front

How do you solve the inequality k - 2 < 7?

Back

To solve k - 2 < 7, add 2 to both sides: k < 9.