Compound Inequalities & Special Cases

Front

What is a compound inequality?

Back

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

Front

When graphing typical 'AND' inequalities, how does the shading look?

Back

Shading that always connects the 2 dots.

Front

What does the compound inequality -2 < x < 0 represent?

Back

It represents all numbers between -2 and 0, not including -2 and 0.

Front

Which compound inequality is represented by the graph showing x < -2 or x ≥ 4?

Back

The graph shows values less than -2 or greater than or equal to 4.

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' means both conditions must be true, while 'OR' means at least one condition must be true.

Front

How do you graph the inequality x ≤ -2 AND x > 5?

Back

You shade to the left of -2 and to the right of 5, but there is no overlap.

Front

What does the inequality x > 2 or x ≤ -3 mean?

Back

It means x can be any number greater than 2 or any number less than or equal to -3.

Front

What is the graphical representation of the compound inequality -2 ≤ x < 4?

Back

It includes all numbers from -2 to 4, with -2 included and 4 excluded.

Front

How do you write a compound inequality for the graph that connects -2 and 0?

Back

The compound inequality is -2 < x < 0.

Front

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

Back

It is shaded to the left of -2, not including -2.