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

When do you use a closed dot on a graph?

Back

You use a closed dot when the inequality includes '≤' or '≥'.

Front

When do you use an open dot on a graph?

Back

You use an open dot when the inequality uses '<' or '>'.

Front

What does 'x > 2' represent on a number line?

Back

It represents all numbers greater than 2, not including 2.

Front

What does 'x ≤ -3' represent on a number line?

Back

It represents all numbers less than or equal to -3.

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

Write a compound inequality for the range of x between -2 and 5, inclusive.

Back

-2 ≤ x ≤ 5.

Front

Write a compound inequality for x being less than -2 or greater than 5.

Back

x < -2 or x > 5.