Question

okay, im confused as to where the 5 came from, and i'm not sure what to do
What is the solution set of {x | x < 2} ∪ {x | x ≥ 2}?
all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers

Answer 1

all real numbers

Answer 2

wanna explain that a little bit?

Answer 3

yea - sorry
x < 2 means all real numbers less than 2
x >= 2 means 2 and all real numbers greater than 2
so that includes all real numbers

(the U symbol means the union of the two)

Answer 4

I would probably draw a picture of each solution set on the number line....

Answer 5

okay, im confused as to where the 5 came from,
all numbers less than -5 and greater than 5
the numbers between -5 and 5

those are just bogus answers that make no sense. If you pick them, it means you have NO IDEA

Answer 6

okay, i just hate when i think something's a bogus answer, and then i rule it out, & it turns out to be right

Answer 7

here is each solution set independently
as was stated earlier, U means "union" (i.e. put the two sets together, which in this case is like letting the two graphs overlap)