Will give medal
Which sets of numbers are closed under addition?
Choose all answers that are correct.
A.
{0, 2, 5, 8}
B.
even integers
C.
rational numbers
D.
{0}
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OpenStudy (philcua):
can you help
OpenStudy (philcua):
@abb0t
OpenStudy (anonymous):
i think one of thems D
OpenStudy (anonymous):
i would say Band C
OpenStudy (anonymous):
Opps B and C
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OpenStudy (philcua):
SO IT WOULD BE B AND C
OpenStudy (anonymous):
Ya i think so
geerky42 (geerky42):
B,C, and D.
0+0=0
So {0} is closed under addition.
OpenStudy (philcua):
So be B C AND D
geerky42 (geerky42):
Yep
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OpenStudy (philcua):
oK THANK YOU CAN YOU HELP ME WITH SOME MORE
geerky42 (geerky42):
sure
OpenStudy (anonymous):
lol i got d right hahaha
OpenStudy (philcua):
Numbers p and q are positive integers.
Which statements are always true?
Choose all answers that are correct.
A.
p + q is a positive integer
B.
p – q is a negative integer
C.
p • q is a positive integer
D.
is a positive integer
OpenStudy (philcua):
If you refresh it will work
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geerky42 (geerky42):
What do you think?
OpenStudy (philcua):
A and c
geerky42 (geerky42):
Right.
geerky42 (geerky42):
D is p/q ? I only see "is a positive integer"
OpenStudy (philcua):
Here the next one wait it is p/p is a positive integer that stands for fraction
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OpenStudy (philcua):
@geerky42
OpenStudy (philcua):
That one is d
geerky42 (geerky42):
p/p ?
geerky42 (geerky42):
Then D is answer, because p/p is always 1, hence always positive integer.
OpenStudy (philcua):
yeah but like a fraction
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OpenStudy (philcua):
Om thanks here is the last one
OpenStudy (philcua):
Is the set of multiples of 5 closed under division? Explain why or provide a counterexample if not.
A.
Yes, because the quotient of any two multiples of 5 is also a multiple of 5.
B.
Yes, because the quotient of any two multiples of 5 is also a multiple of 10.
C.
No, and a counterexample is 100 ÷ 5 = 20.
D.
No, and a counterexample is 25 ÷ 50 = .
OpenStudy (philcua):
@geerky42
geerky42 (geerky42):
What do you think?
OpenStudy (philcua):
on de there is a fraction of 1/2 as the answer
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geerky42 (geerky42):
Yeah, D
OpenStudy (philcua):
I think it is b
OpenStudy (philcua):
But it is d
OpenStudy (philcua):
Are you there
geerky42 (geerky42):
Set of multiples of 5 = \(\{\ldots, -10, -5, 0, 5, 10,15,\ldots\}\)
\(\dfrac{25}{50} = \dfrac{1}{2}\), right?
Is 1/2 in set of multiples of 5?
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OpenStudy (philcua):
yes it is 25 divided by 50
geerky42 (geerky42):
It is equal to 1/2
Is 1/2 divisible by 5?
OpenStudy (philcua):
Uh I dont think so
geerky42 (geerky42):
No, so since we can select two elements from set and produce new number that is not in set, this set is not closed under division, so answer is D.
geerky42 (geerky42):
Does that make sense?
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