Solving Inequalities with 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, y < 5 means y is less than 5.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

What does the symbol '≤' represent in inequalities?

Back

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

How do you graph the inequality y < x + 2?

Back

To graph y < x + 2, draw a dashed line for y = x + 2 and shade the area below the line.

Front

What is the standard form of a linear inequality in two variables?

Back

The standard form is Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.

Front

How do you write an inequality for a budget constraint?

Back

To write an inequality for a budget constraint, express the total cost of items as less than or equal to the budget. For example, 3x + 2y ≤ 24.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.