Intro to Inequalities + Writing 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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10 means x is greater than or equal to 10.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you write the phrase 'at least' in inequality form?

Back

The phrase 'at least' is written as '≥'. For example, 'at least 50' is written as x ≥ 50.

Front

How do you write the phrase 'no more than' in inequality form?

Back

The phrase 'no more than' is written as '≤'. For example, 'no more than 100' is written as x ≤ 100.

Front

What is the solution set of the inequality x > 2?

Back

The solution set of the inequality x > 2 includes all real numbers greater than 2.

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle on 3, and shade to the left to indicate all numbers less than 3.

Front

What is the first step to solve the inequality 5x + 10 ≥ 100?

Back

The first step is to subtract 10 from both sides: 5x ≥ 90.