Compound Inequalities & Special Cases

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 compound inequalities?

Back

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

Front

What does 'OR' mean in compound inequalities?

Back

'OR' means at least one of the conditions must be true.

Front

How do you graph an 'AND' inequality?

Back

Shading that always connects the two dots.

Front

How do you graph an 'OR' inequality?

Back

Shading that points away from the dots.

Front

What is the solution to the compound inequality x > 2 and x ≤ 5?

Back

The solution is the range 2 < x ≤ 5.

Front

What is the solution to the compound inequality x < -2 or x ≥ 4?

Back

The solution includes all x values less than -2 and all x values greater than or equal to 4.

Front

What does the graph of x ≤ -2 look like?

Back

A solid dot at -2 and shading to the left.

Front

What does the graph of x > 5 look like?

Back

An open dot at 5 and shading to the right.

Front

How do you write the compound inequality for the graph with a solid dot at -2 and an open dot at 5?

Back

x ≤ -2 OR x > 5.