Intro to 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 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 ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw an open circle at 3 and shade to the right to indicate all numbers greater than 3.

Front

How do you graph the inequality x < -2 on a number line?

Back

Draw an open circle at -2 and shade to the left to indicate all numbers less than -2.

Front

What is the difference between '≥' and '>'?

Back

'≥' includes the number itself (e.g., x ≥ 5 includes 5), while '>' does not (e.g., x > 5 does not include 5).

Front

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

Back

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

Front

How do you solve the inequality 2x < 10?

Back

Divide both sides by 2: x < 5.