Graphing Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using the words 'and' or 'or'.

Front

What does 'AND' mean in a compound inequality?

Back

'AND' means that both conditions must be true at the same time.

Front

What does 'OR' mean in a compound inequality?

Back

'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 all values that satisfy either inequality.

Front

What is the solution set for x ≤ -2 OR x > 5?

Back

The solution set includes all values less than or equal to -2 and all values greater than 5.

Front

What is the solution set for x ≥ 2 AND x ≤ 4?

Back

The solution set includes all values between 2 and 4, inclusive.

Front

How do you write an inequality for a graph that shows x ≤ -5 OR x > 4?

Back

The inequality can be written as x ≤ -5 OR x > 4.

Front

What is the difference between '≤' and '<'?

Back

'≤' means less than or equal to, while '<' means strictly less than.

Front

What is the difference between '≥' and '>'?

Back

'≥' means greater than or equal to, while '>' means strictly greater than.