Graphing Compound Inequalities - Period 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 the graph of a compound inequality represent?

Back

The graph of a compound inequality represents all the solutions that satisfy the inequality.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' indicates that both conditions must be true simultaneously, while 'or' indicates that at least one condition must be true.

Front

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

Back

To graph a compound inequality with 'and', find the intersection of the two inequalities on a number line.

Front

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

Back

To graph a compound inequality with 'or', find the union of the two inequalities on a number line.

Front

What does an open circle on a graph indicate?

Back

An open circle indicates that the endpoint is not included in the solution set.

Front

What does a closed circle on a graph indicate?

Back

A closed circle indicates that the endpoint is included in the solution set.

Front

If the compound inequality is x < 3 and x > 1, what is the solution set?

Back

The solution set is 1 < x < 3, which is represented by the interval (1, 3).

Front

If the compound inequality is x ≤ 2 or x ≥ 5, what is the solution set?

Back

The solution set is x ≤ 2 or x ≥ 5, which is represented by the intervals (-∞, 2] and [5, ∞).

Front

How do you solve the compound inequality 2 < x + 3 < 5?

Back

Subtract 3 from all parts: -1 < x < 2.