Solving & Graphing 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 compound inequalities?

Back

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

Front

What does 'OR' mean in compound inequalities?

Back

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

Front

How do you graph 'AND' inequalities?

Back

Shade the region where both inequalities overlap.

Front

How do you graph 'OR' inequalities?

Back

Shade the regions of both inequalities separately.

Front

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

Back

You must flip the inequality sign.

Front

Solve the compound inequality: -3 < x < 5.

Back

The solution is all numbers between -3 and 5.

Front

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

Back

The solution includes all numbers greater than 5 and all numbers less than -2.

Front

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

Back

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

Front

What does the graph of x < 5 look like?

Back

A line with an open circle at 5, shading to the left.