Writing and Graphing Inequalities Practice

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

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x can be any number less than or equal to 10.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph the inequality x < 4 on a number line?

Back

Draw a number line, place an open circle on 4, and shade to the left to indicate all numbers less than 4.

Front

How do you graph the inequality x ≥ -2 on a number line?

Back

Draw a number line, place a closed circle on -2, and shade to the right to indicate all numbers greater than or equal to -2.

Front

What is the solution set of the inequality x > 0?

Back

The solution set includes all positive numbers greater than 0.

Front

If x < 3, which of the following is NOT a solution: 2, 3, 1?

Back

3 is NOT a solution because it is not less than 3.

Front

What does the inequality x ≤ 5 represent?

Back

It represents all numbers that are less than or equal to 5.