Solving and Graphing 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?

Back

The symbol < means 'less than'.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'.

Front

How do you solve the inequality -8n - 8 > 56?

Back

Add 8 to both sides: -8n > 64. Then divide by -8 (remember to flip the inequality): n < -8.

Front

How do you graph the inequality x > 2 on a number line?

Back

Draw an open circle at 2 and shade to the right to indicate all numbers greater than 2.

Front

What is the solution to the inequality 20 < 4x?

Back

Divide both sides by 4: 5 < x or x > 5.

Front

What is the solution to the inequality -5x < 15?

Back

Divide both sides by -5 (remember to flip the inequality): x > -3.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality, often represented by a contradiction.