Question

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

all numbers except -3 and 5
the numbers between -3 and 5
the empty set
all real numbers

Answer 1

B?

Answer 2

how is that possible at the same time

Answer 3

x less than negative 3. That set looks kinda like this
( ... , -6, -5, -4, -3)
(I'm doing this for integers of course.
Notice it doesn't contain anything larger than -3.

The other set is the numbers greater than 5,
( 5, 6, 7, 8, ... )

The question is asking you,
what do these sets have in common?
Which numbers?

Answer 4

it can be an OR statement , but that as is is not possible

Answer 5

Good :) they have nothing in common!

Answer 6

thank you:))