Izzy - Graphing Inequalities in Two Variables

Front

What is an inequality?

Back

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

Front

What does the symbol < mean in an inequality?

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 in an inequality?

Back

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

Front

What does the symbol ≤ mean in an inequality?

Back

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

Front

What does the symbol ≥ mean in an inequality?

Back

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

Front

How do you graph the inequality y < 2x - 3?

Back

To graph y < 2x - 3, first graph the line y = 2x - 3 as a dashed line, then shade below the line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates that the points on the line are not included (< or >).

Front

How do you determine which way to shade when graphing y ≤ 2x - 3?

Back

For y ≤ 2x - 3, shade below the line because the inequality indicates that y can be less than or equal to the expression.

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.

Front

How can you check if a point is a solution to an inequality?

Back

To check if a point is a solution, substitute the x and y values of the point into the inequality and see if the statement is true.