Graphing Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you graph the inequality x > 2?

Back

You draw a number line, place an open circle on 2, and shade to the right.

Front

How do you graph the inequality x ≤ -3?

Back

You draw a number line, place a closed circle on -3, and shade to the left.

Front

What does the compound inequality 2 ≤ x ≤ 4 represent?

Back

It represents all numbers x that are greater than or equal to 2 and less 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 compound inequality x > 2 or x ≤ -3?

Back

You graph x > 2 with an open circle at 2 and shade to the right, and graph x ≤ -3 with a closed circle at -3 and shade to the left.

Front

What does the inequality -2 < x ≤ 2 mean?

Back

It means x is greater than -2 and less than or equal to 2.

Front

Will the circle be colored in for the inequality 5 ≥ x?

Back

Yes, the circle will be colored in because it includes the number 5.