# Compound Inequalities

A compound inequality is a connection or relation of two or more then two inequalities joined together with "and" or "or".

In an inequality "or" indicates that as long as either inequality is true, the entire system(sentence) is true. "Or" is the combination of union of the sets the individual statements.

"And" indicates that both statements of the compound inequality are true at the same time. It is the intersection or overlap of the solution sets for the individual statements.

Like x > 5 and x < 10 is a compound inequality, which states that x takes the values greater then 5 and less than 10.

0 $\leq$ x $\leq$ 4 is again a compound inequality, where x is either 0 or 5 or any number between 0 and 5.