Writing and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you graph the inequality x < 4?

Back

To graph x < 4, draw a number line, place an open circle on 4, and shade to the left.

Front

How do you graph the inequality x ≥ 3?

Back

To graph x ≥ 3, draw a number line, place a closed circle on 3, and shade to the right.

Front

What is the maximum value in the inequality p ≤ 95?

Back

The maximum value in the inequality p ≤ 95 is 95.

Front

If 71 ___ 2, which symbol makes it true?

Back

The symbol '>' makes it true: 71 > 2.

Front

What is the solution to the inequality x > 9?

Back

The solution to the inequality x > 9 includes all numbers greater than 9.