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 > 3 means x is greater than 3.

Front

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

Back

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

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality sign): x > -6.

Front

What is the solution to the inequality b > 6?

Back

The solution indicates that b can take any value greater than 6.

Front

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

Back

Add 4 to both sides: y < -4.

Front

What is the solution to the inequality (n/3) > -20?

Back

Multiply both sides by 3: n > -60.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is the solution to the inequality x > 1?

Back

The solution indicates that x can take any value greater than 1.

Front

What is the solution to the inequality y < 12?

Back

The solution indicates that y can take any value less than 12.