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 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 inequalities 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 inequalities like < or >).

Front

When graphing a linear inequality, which direction do you shade if the inequality is 'y > mx + b'?

Back

You shade upwards, above the line.

Front

When graphing a linear inequality, which direction do you shade if the inequality is 'y < mx + b'?

Back

You shade downwards, below the line.

Front

Back

Front

Back

The y-intercept is -4.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign (=), while a linear inequality uses inequality symbols (<, >, ≤, or ≥).

Front

What does the term 'solution set' refer to in the context of linear inequalities?

Back

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