Question

How do I write this in set-builder notation?

"B is the set of multiples of 3 between -10 and 10"

Answer 1

Can you first tell which all numbers will be there in it?

Answer 2

-9,-6,-3,3,6,9

Answer 3

Wonderful! Now in set builder we need a general term which gives each these values. Like for 2,4,6,8.... We have 2x. Can you think of something like that here?

Answer 4

3x

Answer 5

Fine. Also tell me the upper and lower limits of x.

Answer 6

-3x to 3x?

Answer 7

Can you just give me an example?
"C is the set of multiples of 2 between -8 and 8"

Answer 8

Yeah for that we can write

C={2x: -4<x<4}

Answer 9

Answer: A= {3x: -3 < x < 3}?

Answer 10

Well done :)

Answer 11

But it should be <= and >=

Answer 12

Thanks!

Answer 13

yw :)