Question

Which sets of numbers are closed under division?

Choose all answers that are correct.

A.
rational numbers

B.
integers

C.
{–1, 0, 1}

D.
whole numbers

Answer 1

do you know

Answer 2

@tiannamatos

Answer 3

@courtney-ray

Answer 4

@DisplayError

Answer 5

In order for a set to be closed under division, it means that for any two elements a, b within that set, a/b (a divided by b) is still within that set.

(a) This set is not closed under division, because if we let a = 3 and b = 0, then 3/0 is not a real number (i.e. not in the set R). In fact, 3/0 is not defined.

(b) R - {0} means the set of all real numbers, excluding 0. This set is closed under division.

(c) R - {-1, 1} means the set of all real numbers excluding -1 and 1. This is not closed under division, because if we take a = 3 and b = -3, then 3/(-3) = -1. -1 is NOT in the set "R - {-1, 1}"

(d) {-1, 1}

Answer 6

its getting late and i really need the answer

Answer 7

i will fan and medal

Answer 8

@lajessica.

Answer 9

i realy need help

Answer 10

@heythatsness

Answer 11

please anyone

Answer 12

@idku

Answer 13

i realy need he answer

Answer 14

the answer i mean please

Answer 15

@tiannamatos

Answer 16

please we have to go to the car dealer ship and i need the aanswer

Answer 17

@AlexandervonHumboldt2

Answer 18

@mary212129

Answer 19

i think it is D