Solving+compound+inequalities+Set+3

What does a compound inequality look like? How is this different from a regular inequality? Give a few examples.

How is solving an "and" statement different from solving an "or" statement? What do you look for in the number line graphs? Remember that an "and" statement is NOT always going to be a "betweenness" and an "or" statement is NOT always going to require that the "outer" parts of the number line are shaded! Give some examples of these more interesting examples.

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?

When is a compound inequality a betweenness? How can you go back and forth between writing the inequality as a betweenness and two separate inequalities?Give a few examples to illustrate.

In which situation is the solution an //intersection// of two sets of numbers? Give one example in which the intersection yields a betweenness and one example in which it yields something else!

In which situation is the solution of //union// of two sets of numbers? Give one example in which the intersection yields a "outer ends of the number line" situation and one example in which it yields something else!