Linear Inequalities Basics

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 (like <, >, ≤, or ≥).

Front

What does a dotted line represent in a graph of a linear inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set (for example, in inequalities like y < mx + b).

Front

What does a solid line represent in a graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set (for example, in inequalities like y ≤ mx + b).

Front

When graphing y < mx + b, which direction do you shade?

Back

You shade down from the line.

Front

When graphing y > mx + b, which direction do you shade?

Back

You shade up from the line.

Front

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

Back

Shading indicates the region of the graph that satisfies the inequality.

Front

What does the symbol '>' mean in a linear inequality?

Back

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

Front

What does the symbol '<' mean in a linear inequality?

Back

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

Front

What does the symbol '≥' mean in a linear inequality?

Back

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

Front

What does the symbol '≤' mean in a linear inequality?

Back

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