Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you graph the inequality y > 2?

Back

To graph y > 2, draw a dashed horizontal line at y = 2 and shade the area above the line.

Front

How do you graph the inequality y ≤ 1?

Back

To graph y ≤ 1, draw a solid horizontal line at y = 1 and shade the area below the line.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all points that satisfy the inequality.

Front

How can you determine if a point is in the solution set of an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is in the solution set.

Front

What does it mean if a graph has a solid line?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤).