1E Compound Inequalities 1

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 'or' mean in compound inequalities?

Back

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

Front

What does 'and' mean in compound inequalities?

Back

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

Front

How do you solve a compound inequality with 'or'?

Back

To solve a compound inequality with 'or', solve each inequality separately and combine the solutions.

Front

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

Back

To solve a compound inequality with 'and', find the intersection of the solutions of the individual inequalities.

Front

Solve: 3x - 4 < -13 or 7x + 1 > 22

Back

x < -3 or x > 3

Front

Solve: 24 > -3r > -9

Back

-8 < r < 3

Front

Solve: 3x + 2 < -4 or 4x + 4 > 24

Back

x < -2 or x > 5

Front

What is the solution set for x < -3 or x > 1?

Back

The solution set includes all values of x that are less than -3 or greater than 1.

Front

What is the graphical representation of a compound inequality with 'or'?

Back

The graphical representation shows two separate regions on the number line.