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' indicates that both conditions must be true simultaneously.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' indicates that at least one of the conditions must be true.

Front

Solve the compound inequality: 2 < x < 5.

Back

The solution is {x: 2 < x < 5}.

Front

Solve the compound inequality: x < -3 or x > 2.

Back

The solution is {x: x < -3 or x > 2}.

Front

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

Back

Graph each inequality separately and shade the regions that satisfy either inequality.

Front

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

Back

Graph each inequality separately and shade the region where both inequalities overlap.

Front

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

Back

The solution is {x: x < -3 or x > 3}.

Front

What is the solution to the inequality: 3x + 2 < -4?

Back

The solution is {x: x < -2}.

Front

What is the solution to the inequality: 4x + 4 > 24?

Back

The solution is {x: x > 5}.