Solving and Graphing 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 0 < x + 7 < 9?

Back

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

Front

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

Back

You must flip the inequality sign.

Front

Solve the compound inequality: -8 < 2(x + 4) or -3x + 4 > x - 4.

Back

x > -8 or x < 2.

Front

What is the solution set for the inequality 6 < x + 5 ≤ 11?

Back

The solution set is x > 1 and x ≤ 6.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open circle at 2, and shade to the right.

Front

How do you graph the inequality x ≤ -3?

Back

Draw a number line, place a closed circle at -3, and shade to the left.

Front

What is the solution to the inequality 3x - 5 < 4?

Back

x < 3.