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 in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

When graphing the inequality x ≤ -2, what type of dot is used on -2?

Back

A closed dot is used on -2.

Front

When graphing the inequality x < 5, what type of dot is used on 5?

Back

An open dot is used on 5.

Front

What is the solution set for the inequality 3x + 2 < -7?

Back

x < -3.

Front

What is the solution set for the inequality -4x + 5 < 1?

Back

x > 1.

Front

What does the word 'and' indicate in a compound inequality?

Back

It indicates that both conditions must be true simultaneously.

Front

What does the word 'or' indicate in a compound inequality?

Back

It indicates that at least one of the conditions must be true.

Front

How do you solve the compound inequality x ≤ -2 or x > 5?

Back

The solution set includes all values less than or equal to -2 and all values greater than 5.