Unit 2: Analyzing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).

Front

What does the symbol '>' indicate in an inequality?

Back

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

Front

What does the symbol '<' indicate in an inequality?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

What does the symbol '≥' indicate in an inequality?

Back

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

Front

What does the symbol '≤' indicate in an inequality?

Back

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

Front

How do you determine if a line is solid or dashed in a graph of an inequality?

Back

A solid line is used if the inequality includes 'equal to' (≥ or ≤). A dashed line is used if the inequality does not include 'equal to' (> or <).

Front

When graphing the inequality y > 3x + 7, which direction do you shade?

Back

You shade above the line because the inequality is greater than.

Front

When graphing the inequality y < 2x - 5, which direction do you shade?

Back

You shade below the line because the inequality is less than.

Front

What is the first step in graphing a linear inequality?

Back

The first step is to graph the corresponding linear equation as if it were an equality.

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality.