Graphing Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

What does 'and' mean in a compound inequality?

Back

It means both conditions must be true at the same time.

Front

What does 'or' mean in a compound inequality?

Back

It means at least one of the conditions must be true.

Front

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

Back

Shade the region where both inequalities overlap.

Front

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

Back

Shade the regions of both inequalities separately.

Front

What is the solution to the compound inequality 0 ≤ x < 5?

Back

The solution includes all numbers from 0 to 5, including 0 but not 5.

Front

What is the solution to the compound inequality x > 2 or x ≤ -3?

Back

The solution includes all numbers greater than 2 and all numbers less than or equal to -3.

Front

What does the notation '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the notation '≥' mean?

Back

It means 'greater than or equal to'.

Front

How would you express the solution to the inequality -5 ≤ x < 4?

Back

The solution includes all numbers from -5 to 4, including -5 but not 4.