Compound Inequalities

Front

What is a compound inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

When graphing the inequality x < 3, what type of dot is used?

Back

An open dot is used.

Front

When graphing the inequality x ≤ 4, what type of dot is used?

Back

A closed dot is used.

Front

What does the solution to the inequality x > 2 represent on a number line?

Back

All numbers greater than 2, represented with an open dot at 2 and shading to the right.

Front

What does the solution to the inequality x ≤ -1 represent on a number line?

Back

All numbers less than or equal to -1, represented with a closed dot at -1 and shading to the left.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true; 'or' means at least one condition must be true.

Front

How do you graph the compound inequality x < 2 or x > 5?

Back

Graph two separate regions: one to the left of 2 and one to the right of 5.

Front

What does the compound inequality -3 ≤ x ≤ 4 represent?

Back

All numbers between -3 and 4, including -3 and 4.