4-6: Graphing and Writing 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?

Back

The symbol < means 'less than'. For example, if x < 5, then x is any number less than 5.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'. For example, if y > 3, then y is any number greater than 3.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. For example, if z ≤ 10, then z can be any number up to and including 10.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. For example, if a ≥ 2, then a can be any number starting from 2 and above.

Front

How do you graph the inequality x < 4?

Back

To graph x < 4, draw a number line, place an open circle at 4, and shade to the left to indicate all numbers less than 4.

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 to indicate all numbers greater than or equal to -2.

Front

What inequality represents 'Carlos spent less than $50 on sports equipment'?

Back

The inequality is x < 50.

Front

What does the inequality s > 20 represent?

Back

The inequality s > 20 means that there are more than 20 students in the hallway.

Front

What is the solution to the inequality 2x + 3 < 7?

Back

The solution is x < 2.