Question 824110
"{x | x < -5}" tells us that x must be less than -5
"{x | x > 5}" tells us that x must be grater than 5
The "&#8745;" between them is the symbol for intersection. This means that the solution set is made up of numbers which are simultaneously in <u>both</u> of these two sets.<br>
So what numbers, if any, are simultaneously less than -5 and greater than 5? The answer to this is the answer to your problem.<br>
P.S. One of the choices, "all numbers less than -5 and greater than 5", is worded terribly. It should read: "all numbers less than -5 or greater than 5". The words "and" and "or" have very important and very different meanings when used in the context of sets.