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

The first part of the set tells us that x is less than -5.

The second part tells us that x is greater than 5.

The intersection sign in the middle tells us to find "common" item in the first part and second part.

Is there any number both greater than 5 and less than -5? No!

So our solution doesn't exist and is the empty set.

ANSWER: The empty set

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}