Assignment - Solving 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 'AND' in a compound inequality signify?

Back

The 'AND' signifies that both conditions must be true at the same time.

Front

What does the 'OR' in a compound inequality signify?

Back

The 'OR' signifies that at least one of the conditions must be true.

Front

How do you solve the compound inequality 0 < x + 7 < 9?

Back

Subtract 7 from all parts: -7 < x < 2.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

You must rotate (flip) the inequality sign.

Front

What is the solution to the inequality 3x - 4 < -13?

Back

x < -3.

Front

What is the solution to the inequality 7x + 1 > 22?

Back

x > 3.

Front

How do you graph 'AND' inequalities?

Back

Shading that always connects the two dots.

Front

How do you graph 'OR' inequalities?

Back

Shading that points away from each dot.

Front

What is the solution to the compound inequality x ≤ -2 OR x > 5?

Back

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