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?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality 2x > 10?

Back

To solve 2x > 10, divide both sides by 2: x > 5.

Front

Is x = 10 a solution to the inequality x < 10?

Back

No, x = 10 is not a solution because it does not satisfy the inequality.

Front

What is the equivalent inequality for X < 5?

Back

The equivalent inequality is 5 > X.

Front

What does the graph of X > -1 look like?

Back

The graph of X > -1 is a number line with an open circle at -1 and shading to the right.

Front

What does the graph of X < -1 look like?

Back

The graph of X < -1 is a number line with an open circle at -1 and shading to the left.