Unit 4 Review: Inequalities (Linear and two variables)

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 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is either greater than 2 or equal to 2.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is either less than 4 or equal to 4.

Front

How do you graph the inequality y > -2?

Back

To graph y > -2, draw a horizontal dashed line at y = -2 and shade the area above the line.

Front

Which point is NOT part of the solution set for the inequality y < -2?

Back

The point (0, -2) is NOT part of the solution set because it lies on the line, and the inequality is strict (<).

Front

Back

The solution is the interval [-13, -3], meaning x can take any value between -13 and -3, inclusive.

Front

Back

The solution is all values of x that are less than 5.

Front

What is the solution to the equation |2x + 9| = 15?

Back

The solutions are x = 3 and x = -12.