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, x < 5 means x 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 either greater than 2 or equal to 2.

Front

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

Back

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

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle at 3, and shade to the right.

Front

How do you graph the inequality x < -2?

Back

To graph x < -2, draw a number line, place an open circle at -2, and shade to the left.

Front

What is the graph of the inequality b ≤ -2?

Back

The graph of b ≤ -2 includes a closed circle at -2 and shading to the left.

Front

What is the graph of the inequality x ≥ 5?

Back

The graph of x ≥ 5 includes a closed circle at 5 and shading to the right.

Front

How do you write the inequality for a graph that shows a closed circle at 5 and shading to the left?

Back

The inequality is x ≤ 5.