Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'is less than'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'is greater than'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'is less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'is greater than or equal to'.

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left.

Front

How do you graph the inequality x ≥ 2?

Back

To graph x ≥ 2, draw a number line, place a closed circle at 2, and shade to the right.

Front

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

Back

The solution set of x > 5 includes all numbers greater than 5.

Front

What is the solution set of the inequality x ≤ 4?

Back

The solution set of x ≤ 4 includes all numbers less than or equal to 4.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as x < 3 and x > 1, and is often written as 1 < x < 3.