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'. For example, x > 3 means x is greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, y < 5 means y is less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 4 means y is less than or equal to 4.

Front

How do you graph the inequality y < 2?

Back

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

Front

How do you graph the inequality y ≥ -3x + 1?

Back

To graph y ≥ -3x + 1, first graph the line y = -3x + 1 with a solid line, then shade the area above the line.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

What is a boundary line in graphing inequalities?

Back

A boundary line is the line that represents the equation of the inequality. It can be solid (for ≥ or ≤) or dashed (for > or <).

Front

What does it mean if a point is above the boundary line in a graph of an inequality?

Back

If a point is above the boundary line, it means that the point satisfies the inequality (for ≥ or >).