Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

How do you solve the inequality 4x - 3 < -1x + 12?

Back

Combine like terms to get 5x < 15, then divide by 5 to find x < 3.

Front

What is the solution to the inequality -2x + 2 > 3x - 8?

Back

The solution is x < 2.

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

Does the sign need to flip when solving 8y < -40?

Back

No, the sign does not need to flip because you are dividing by a positive number.

Front

What is a possible solution for the inequality x < 3?

Back

Any number less than 3, such as 2, 0, or -1, is a possible solution.

Front

How do you graph the inequality x < 24 on a number line?

Back

Draw an open circle at 24 and shade to the left to indicate all numbers less than 24.

Front

What is the solution to the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to get 3x < 15, then divide by 3 to find x < 5.