Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '>' represent in inequalities?

Back

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

Front

What does the symbol '<=' represent in inequalities?

Back

The symbol '<=' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

Front

What does the symbol '>=' represent in inequalities?

Back

The symbol '>=' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

Front

How do you solve the inequality 9x - 12 < 15?

Back

To solve 9x - 12 < 15, first add 12 to both sides to get 9x < 27. Then, divide both sides by 9 to find x < 3.

Front

How do you solve the inequality -5x + 7 > 22?

Back

To solve -5x + 7 > 22, first subtract 7 from both sides to get -5x > 15. Then, divide both sides by -5, remembering to flip the inequality sign, resulting in x < -3.

Front

How do you solve the inequality 6x - 3 < 15?

Back

To solve 6x - 3 < 15, first add 3 to both sides to get 6x < 18. Then, divide both sides by 6 to find x < 3.

Front

How do you solve the inequality -5x - 7 > -22?

Back

To solve -5x - 7 > -22, first add 7 to both sides to get -5x > -15. Then, divide both sides by -5, remembering to flip the inequality sign, resulting in x < 3.

Front

What does it mean when an inequality has no solution?

Back

An inequality has no solution when the expressions cannot satisfy the inequality for any value of the variable, such as when the variable cancels out and results in a false statement.