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 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 separately, showing the entire range of values for each.

Front

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

Back

x < -6.

Front

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

Back

x < -6 or x > 3.

Front

Write the compound inequality for the graph showing x ≤ -2 or x > 5.

Back

x ≤ -2 OR x > 5.

Front

What is the solution set for the compound inequality: -2 ≤ x ≤ 5?

Back

The solution set includes all numbers between -2 and 5, including -2 and 5.

Front

How do you write an inequality for a graph that shows an open interval?

Back

Use '<' or '>' to indicate that the endpoints are not included.