Writing and Graphing Inequalities

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 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, y < 10 means y is less than 10.

Front

What does '≥' represent in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, z ≥ 3 means z is greater than or equal to 3.

Front

What does '≤' represent in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ 7 means a is less than or equal to 7.

Front

How do you graph the inequality x > 2?

Back

To graph x > 2, draw a number line, place an open circle at 2, and shade to the right.

Front

How do you graph the inequality y ≤ 4?

Back

To graph y ≤ 4, draw a number line, place a closed circle at 4, and shade to the left.

Front

What is the solution set of the inequality m < 25?

Back

The solution set includes all numbers less than 25, such as m = 24, m = 0, or m = -10.

Front

If the inequality is s > 20, what does it mean?

Back

It means that the number of students s is more than 20.

Front

What is the minimum value represented by the inequality x ≥ 122?

Back

The minimum value is 122, meaning x can be 122 or any number greater than 122.