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

Solve the compound inequality: -3 ≤ 2x - 1 ≤ 5.

Back

-1 ≤ x ≤ 3.

Front

What does 'and' mean in a compound inequality?

Back

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

Front

What does 'or' mean in a compound inequality?

Back

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

Front

Solve the compound inequality: x + 8 < 3 or -8x < -40.

Back

x < -5 or x > 5.

Front

Write an inequality for the graph that shows x is between -2 and 5.

Back

-2 ≤ x ≤ 5.

Front

What inequality is represented by the graph where x is greater than 2 or less than or equal to -3?

Back

x > 2 or x ≤ -3.

Front

Solve the compound inequality: x + 2 < -4 or -5x < -15.

Back

x < -6 or x > 3.

Front

What is the solution set for the compound inequality: 3 < x < 7?

Back

The solution set is all numbers between 3 and 7, not including 3 and 7.

Front

How do you graph a compound inequality with 'and'?

Back

You find the overlap of the two inequalities on a number line.