Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'.

Front

What does 'and' mean in a compound inequality?

Back

It means both conditions must be true simultaneously.

Front

What does 'or' mean in a compound inequality?

Back

It means at least one of the conditions must be true.

Front

How do you solve the compound inequality x + 2 < -4?

Back

Subtract 2 from both sides: x < -6.

Front

How do you solve the compound inequality -5x < -15?

Back

Divide both sides by -5 (remember to flip the inequality): x > 3.

Front

What is the solution to the compound inequality x < -6 or x > 3?

Back

The solution includes all values less than -6 and all values greater than 3.

Front

What is the graphical representation of x > 2?

Back

An open circle at 2 and a line extending to the right.

Front

What is the graphical representation of x ≤ -3?

Back

A closed circle at -3 and a line extending to the left.

Front

How do you write the compound inequality for the graph showing x ≤ -2 or x > 5?

Back

x ≤ -2 OR x > 5.

Front

What is the solution to the compound inequality 6 > x?

Back

x < 6.