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 ≥ 5}
3. B C
{x | x < 1 or x ≥ 5}
4. A ∩ B
{x | x = 5}
5. B ∩ C
{x | x < 1 or x = 5}

Answer 1

Draw the sets on a number line, e.g.

Answer 2

Then \[\cup, \cap\] are easier to see.

Answer 3

So, AnB is empty.

Answer 4

Im still confused, because i have no idea what \[\cup\] means

Answer 5

@Redcan

Answer 6

I'm guessing your using AB to mean union, i.e. A or B

Answer 7

U is a symbol for union

Answer 8

yes. numbers 1,2, and 3 have the union symbols. If it stands for union how will i figure it out then? union as being equal to each other??

Answer 9

\[A \cup B = \{x \text{ such that } x\in A \text{ or } x \in B\}\]

Answer 10

so the stuff that is in one or the other or both

Answer 11

So AB = {x | x < 1 or x ≥ 5}

Answer 12

so basically just draw line graphs to figure out the union method?