Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like >, <, ≥, 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, y < 3 means y is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 4 means z 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, a ≤ 10 means a is less than or equal to 10.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

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

Back

Yes, because 12 is greater than 5.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

When graphing an inequality, what does a closed dot represent?

Back

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

Front

When graphing an inequality, what does an open dot represent?

Back

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