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 'less than'. For example, x < 5 means x is any number less than 5.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x can be 2 or any number less than 2.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x can be 4 or any number greater than 4.

Front

How do you graph the inequality p < 2 on a number line?

Back

Draw a number line, place an open circle on 2, and shade to the left to indicate all numbers less than 2.

Front

How do you graph the inequality k < 3 on a number line?

Back

Draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

How do you graph the inequality r ≥ -6 on a number line?

Back

Draw a number line, place a closed circle on -6, and shade to the right to indicate all numbers greater than or equal to -6.

Front

What does the graph of x < -4 look like?

Back

The graph has an open circle on -4 and shades to the left, indicating all numbers less than -4.

Front

What does the graph of x ≥ 3 look like?

Back

The graph has a closed circle on 3 and shades to the right, indicating all numbers greater than or equal to 3.