Graphing Inequalities Review

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 > 5 means x is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

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 ≤ -1?

Back

To graph x ≤ -1, draw a number line, place a closed circle at -1, and shade to the left.

Front

What does the graph of -2 ≥ n look like?

Back

The graph of -2 ≥ n shows a closed circle at -2 and shading to the left.

Front

How do you interpret the inequality 2.75 < d?

Back

This means that d is any number greater than 2.75.

Front

What is the solution set for the inequality x ≥ 3?

Back

The solution set includes all numbers x such that x is 3 or greater.