The number -4 does NOT belong to which set of numbers? a.whole numbers b.rational numbers c.intergers c.real number

Question

jim_thompson5910 · Answer

were you able to get anywhere?

anonymous · Answer

nope

jim_thompson5910 · Answer

can -4 be written as a fraction of two integers

anonymous · Answer

help? :(

jim_thompson5910 · Answer

first off we can eliminate choice D because -4 is definitely a real number

anonymous · Answer

no

jim_thompson5910 · Answer

why not? we can easily do

-4 = -4/1

anonymous · Answer

ok

jim_thompson5910 · Answer

so that means -4 is definitely a rational number

anonymous · Answer

oh.. i thought fractions couldnt b negitive

jim_thompson5910 · Answer

yes they can be

anonymous · Answer

oh okay

jim_thompson5910 · Answer

the set of integers is the set of negative and positive whole numbers

the set of whole numbers is the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...}

notice how the set of integers includes negatives, but the set of whole numbers does not

anonymous · Answer

what does irrational numer mean?

jim_thompson5910 · Answer

irrational is the complete opposite of rational

jim_thompson5910 · Answer

irrational = not rational

jim_thompson5910 · Answer

so something like $\large \sqrt{2}$ is irrational

anonymous · Answer

rational =?

jim_thompson5910 · Answer

because this number cannot be written as a fraction of two whole numbers

jim_thompson5910 · Answer

rational = any number that can be written as a fraction of two whole numbers

anonymous · Answer

ohh okay :)

jim_thompson5910 · Answer

glad it's all clicking

anonymous · Answer

can u help me with another question?

jim_thompson5910 · Answer

so what's the final answer to this one

jim_thompson5910 · Answer

sure I can help with another, but I just want to make sure you got the answer

anonymous · Answer

c

jim_thompson5910 · Answer

no -4 is definitely an integer

jim_thompson5910 · Answer

integers are whole numbers but they include both positive and negative

the set of whole numbers is only positive or 0

anonymous · Answer

ik !! sorry i was looking at a different problem lol ur right. but i need help with this one as well..

anonymous · Answer

$$\sqrt{7}$$

anonymous · Answer

is irrational right?

jim_thompson5910 · Answer

that is irrational, yes you are correct

anonymous · Answer

:D

jim_thompson5910 · Answer

you cannot represent that as fraction of two whole numbers, so it is irrational

nice work

anonymous · Answer

$$ A \cup B$$

anonymous · Answer

attachment

anonymous · Answer

2, 4 correct ?

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

that's if the U was upside down

jim_thompson5910 · Answer

2,4 is in both sets...ie the intersection of the two sets

jim_thompson5910 · Answer

so IF the problem was 

$$\large A \cap B$$

then {2,4} would be the answer

anonymous · Answer

its 0,1,3,6,8 ?

jim_thompson5910 · Answer

A U B is just the combination of both sets A and B

so it's any number that's in A or in B (or both)

jim_thompson5910 · Answer

0,1,3,6,8  is closer, but still no