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 such as <, >, ≤, or ≥.

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater 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', indicating that the value on the left is either less than or equal to the value on the right.

Front

How do you graph a linear inequality with '>' or '<'?

Back

You use a dashed line to indicate that the points on the line are not included in the solution set.

Front

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

Back

You use a solid line to indicate that the points on the line are included in the solution set.

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.

Front

How do you determine which side of the line to shade when graphing a linear inequality?

Back

You can test a point not on the line (like (0,0)) to see if it satisfies the inequality. If it does, shade the side containing that point.

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you convert a linear equation to a linear inequality?

Back

You replace the equality sign '=' with an inequality sign (<, >, ≤, or ≥) to create a linear inequality.

Front

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

Back

A linear equation represents a straight line, while a linear inequality represents a region of the coordinate plane.