Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

When do you use an open dot on a number line?

Back

An open dot is used when the inequality symbol is '<' or '>'.

Front

When do you use a closed dot on a number line?

Back

A closed dot is used when the inequality symbol is '≤' or '≥'.

Front

What is the solution set for the inequality x > 2 or x ≤ -3?

Back

The solution set includes all numbers greater than 2 and all numbers less than or equal to -3.

Front

How do you solve the compound inequality 2 < x + 2 < 5?

Back

Subtract 2 from all parts: 0 < x < 3.

Front

What is the solution set for the compound inequality x ≥ 2 and x ≤ 4?

Back

The solution set includes all numbers between 2 and 4, inclusive.