Solving and 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, 6 > x means 6 is greater than x.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 4 means x is less than 4.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle on 3, and shade to the right to indicate all numbers greater than 3.

Front

How do you graph the inequality x < -2?

Back

To graph x < -2, draw a number line, place an open circle on -2, and shade to the left to indicate all numbers less than -2.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, n ≥ 7 means n is greater than or equal to 7.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, m ≤ 5 means m is less than or equal to 5.

Front

How do you solve the inequality r - 7 < -3?

Back

To solve r - 7 < -3, add 7 to both sides to get r < 4.

Front

What is the solution to the inequality -2 < n?

Back

The solution to -2 < n is that n can be any number greater than -2.

Front

What is the correct graph for the inequality 6 > x?

Back

The correct graph for 6 > x is an open circle at 6 with shading to the left.