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 '<' represent?

Back

The symbol '<' represents 'less than'.

Front

What does the symbol '>' represent?

Back

The symbol '>' represents 'greater than'.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you represent the inequality 'x is greater than 2' in symbols?

Back

x > 2.

Front

How do you represent the inequality 'x is less than 5' in symbols?

Back

x < 5.

Front

What is the difference between an open dot and a closed dot on a number line?

Back

An open dot indicates that the number is not included in the solution (using < or >), while a closed dot indicates that the number is included (using ≤ or ≥).

Front

What is the solution set for the compound inequality '0 ≤ x < 5'?

Back

The solution set includes all numbers x such that x is greater than or equal to 0 and less than 5.

Front

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

Back

The solution includes all numbers x that are either greater than 2 or less than or equal to -3.