Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > 2x - 5?

Back

1. Graph the line y = 2x - 5 as a dashed line. 2. Shade the area above the line.

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

How do you determine which side of the line to shade for the inequality y ≤ 3/5x - 5?

Back

Choose a test point (like (0,0)). If it satisfies the inequality, shade the side containing that point.

Front

What is the solution set of the inequality x > -5?

Back

The solution set includes all values of x that are greater than -5.

Front

How do you graph the inequality y < -4?

Back

1. Draw a dashed horizontal line at y = -4. 2. Shade the area below the line.

Front

What is the difference between 'y > x + 1' and 'y ≥ x + 1'?

Back

'y > x + 1' uses a dashed line and does not include the line, while 'y ≥ x + 1' uses a solid line and includes the line.