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

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

Back

x < -5 or x > 5.

Front

Solve the compound inequality: -13 < 2x + 5 < 15.

Back

-9 < x < 5.

Front

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

Back

x < -6 or x > 3.

Front

Solve the compound inequality: -4x + 1 ≤ 21 and 5x + 2 < 22.

Back

x ≥ -5 and x < 4.

Front

What is the solution set for a compound inequality?

Back

The solution set is the set of all values that satisfy the compound inequality.

Front

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

Back

You graph the overlapping region of the two inequalities.

Front

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

Back

You graph both inequalities and shade the regions that satisfy either inequality.