Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like >, <, ≥, or ≤.

Front

What does the symbol '>' mean in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

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

Back

Subtract 5 from both sides: x > 2.

Front

What does the solution x > 2 represent?

Back

It means that x can be any number greater than 2.

Front

How do you check if a value satisfies an inequality?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the solution to the inequality 14x + 12 < 9x - 3?

Back

x < -3.

Front

What does the inequality 6 > x mean?

Back

It means x is less than 6.

Front

How can you represent a situation with an inequality?

Back

Identify the quantities involved and use an inequality symbol to show the relationship.

Front

What is the correct inequality for Samantha's situation?

Back

22.50 + x > 32.