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 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means that both conditions must be true at the same time.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' means that at least one of the conditions must be true.

Front

How do you solve the compound inequality -3 < 3x < 6?

Back

Divide all parts by 3: -1 < x < 2.

Front

What is the solution to the compound inequality x + 2 < -4?

Back

x < -6.

Front

How do you graph the solution x < -6?

Back

Draw a number line, shade to the left of -6, and place an open circle at -6.

Front

What is the solution to the compound inequality -5x < -15?

Back

x > 3.

Front

How do you solve the compound inequality -2 < x - 9 < 3?

Back

Add 9 to all parts: 7 < x < 12.

Front

What is the solution to the compound inequality 5d + 2 > 12?

Back

d > 2.

Front

How do you graph the solution 7 < x < 12?

Back

Draw a number line, shade between 7 and 12, and place open circles at 7 and 12.