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 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 ≥ 7 means x 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, x ≤ 10 means x is less than or equal to 10.

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 right to indicate all numbers greater than 4.

Front

How do you graph the inequality x ≤ 2?

Back

To graph x ≤ 2, draw a number line, place a closed circle on 2, and shade to the left to indicate all numbers less than or equal to 2.

Front

What is the solution set of the inequality x < 5?

Back

The solution set of x < 5 includes all real numbers less than 5.

Front

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

Back

The solution set of x ≥ 3 includes all real numbers greater than or equal to 3.

Front

How do you write the inequality for 's is no more than 18'?

Back

The inequality for 's is no more than 18' is s ≤ 18.