SOLUTION: What is the solution set of {x | x < -5} ∩ {x | x > 5}?
all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers
Algebra.Com
Question 824110: What is the solution set of {x | x < -5} ∩ {x | x > 5}?
all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
"{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 "∩" between them is the symbol for intersection. This means that the solution set is made up of numbers which are simultaneously in both of these two sets.
So what numbers, if any, are simultaneously less than -5 and greater than 5? The answer to this is the answer to your problem.
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.
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