Inequalities Review

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 '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be either greater than or equal to the value on the right.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

To solve -4x + 14 ≤ 54, subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality sign) to find x ≥ -10.

Front

What is the solution to the inequality 8x - 19 < 13?

Back

To solve 8x - 19 < 13, add 19 to both sides to get 8x < 32, then divide by 8 to find x < 4.

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 ≥ 15 in a real-world context?

Back

In a real-world context, x ≥ 15 means that a student must be at least 15 years old to obtain a driver's permit.

Front

How do you represent the inequality for the graph showing x < 2?

Back

The inequality for the graph showing x < 2 indicates that all values of x are less than 2.

Front

What is the solution to the inequality -4x ≥ 10?

Back

To solve -4x ≥ 10, divide by -4 (flipping the sign) to find x ≤ -2.

Front

What is the difference between '>' and '≥'?

Back

The symbol '>' means 'greater than' and does not include the value, while '≥' means 'greater than or equal to' and includes the value.