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 'x > 2 and x < 4' represent on a number line?

Back

It represents all numbers between 2 and 4, not including 2 and 4.

Front

What does 'x ≤ -5 OR x > 4' indicate?

Back

It indicates that x can be any number less than or equal to -5 or any number greater than 4.

Front

How do you graph the inequality '0 ≤ x < 5'?

Back

You include 0 with a closed dot and shade to the right up to, but not including, 5.

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 write the compound inequality for the graph that shows all numbers between -2 and 2?

Back

The compound inequality is -2 ≤ x ≤ 2.

Front

What does the inequality 'x ≤ -2 OR x > 5' look like on a number line?

Back

It shows two separate regions: all numbers less than or equal to -2 and all numbers greater than 5.

Front

What is the solution set for the inequality 'x < 3 and x > 1'?

Back

The solution set is all numbers between 1 and 3, not including 1 and 3.

Front

How do you express 'x is greater than or equal to 0 and less than 5'?

Back

It can be expressed as 0 ≤ x < 5.

Front

What is the graphical representation of 'x < -1 or x > 2'?

Back

It shows two separate regions: all numbers less than -1 and all numbers greater than 2.