Give+an+example+of+a+compound+inequality+in+which+the+solution+is+all+real+numbers.+Is+it+possible+to+have+an+and+statement+that+yields+this+result?+Set+6

Give an example of a compound inequality in which the solution is all real numbers. Is it possible to have an "and" statement that yields this result?

--Jeremy Comer

And example of an inequality that satisfies all real numbers would be x≥4 or 5≥x. This is an or statement which means the graph would have to satsify all the requirements of both inequalities. They would overlap in opposite directions, providing a solution that is all real numbers. It is impossible to have an and statement with this result because it must satisfy the requirements that the inequalities have in common. If the inequalties overlap in opposite directions like the one I have posted, it would form a between-ness. If they overlap in the same direction for an "and" statement, you only shade what satisfies both inequalities. If they don't have anything in common, then there is no solution.