Graphing 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 (>, <, ≥, ≤).

Front

What does the symbol '>' indicate in a linear 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 a linear 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 a linear 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 a linear 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 graph a linear inequality with a '>' or '<' symbol?

Back

Use a dashed line to represent the boundary line and shade the region that satisfies the inequality.

Front

How do you graph a linear inequality with a '≥' or '≤' symbol?

Back

Use a solid line to represent the boundary line and shade the region that satisfies the inequality.

Front

What is the significance of shading in the graph of a linear inequality?

Back

Shading indicates the set of all solutions that satisfy the inequality.

Front

When graphing the inequality 2x + 3y < 6, what is the first step?

Back

First, convert the inequality to the corresponding equation (2x + 3y = 6) to find the boundary line.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of the inequality by a negative number.