Question

Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items.
1. A B Ø
2. A C {x | x < 1 or x = 5}
3. B C {x | x < 1 or x ≥ 5}
4. A ∩ B {x | x ≥ 5}
5. B ∩ C {x | x = 5}

Answer 1

are you multiplying in 1, 2 and 3 ?

Answer 2

for one thing.... these match:

B ∩ C {x | x = 5}

Answer 3

intersection: A n B is the empty set.

Answer 4

what are the symbols in 1, 2, 3???

Answer 5

U

Answer 6

A U B is the union... "everything in A" or "everything in B"
A U C is the union.. "everything in A" or "everything in C"
B U C is the union.. "everything in B" or "everything in C"

Answer 7

huh?

Answer 8

A is defined as all number less than 1.
B is defined as all numbers all numbers greater than or equal to 5.

so the union of these two sets is....

Answer 9

in other words,
A U B = {x | x < 1 or x ≥ 5}

Answer 10

so a U c is the fourth one

Answer 11

no. it's the second one

Answer 12

B U C is the fourth one.