Solve and Graph 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 inequalities?

Back

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

Front

What does the symbol > mean in inequalities?

Back

The symbol > means 'greater than'. For example, x > 3 means x is any number 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 can be any number 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 can be any number greater than or equal to 2.

Front

How do you solve the inequality b - 6 < -15?

Back

Add 6 to both sides: b < -9.

Front

What are two solutions to the inequality x < 8?

Back

Any numbers less than 8, such as 0.8 and 5.9.

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle at 3 and shade to the right.

Front

When solving -3x ≥ 12, what do you need to do with the inequality sign?

Back

You need to flip the inequality sign when dividing by a negative number.