For which operations is the set {0, 1} closed?
Choose all answers that are correct.
A.
multiplication
B.
division
C.
addition
D.
subtraction
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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (anonymous):
@pooja195 @ParthKohli
OpenStudy (anonymous):
@Mehek14
OpenStudy (anonymous):
@ganeshie8
OpenStudy (er.mohd.amir):
A
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OpenStudy (anonymous):
u r sure
OpenStudy (er.mohd.amir):
since 0*0=0
1*1=1
0*1=0
1*0=0
OpenStudy (anonymous):
Choose all answers that are correct.
OpenStudy (anonymous):
and c
OpenStudy (er.mohd.amir):
addition not possible since 1+1=2 not in set
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OpenStudy (anonymous):
d
OpenStudy (anonymous):
99999999999.9999999999999999999999% sure
OpenStudy (er.mohd.amir):
subtraction not possible 0-1=-1 not in set
OpenStudy (anonymous):
b
OpenStudy (er.mohd.amir):
division not possible 1/0 and 0/0 not difine
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OpenStudy (anonymous):
then
OpenStudy (anonymous):
Choose all answers that are correct.
OpenStudy (anonymous):
a and .......
OpenStudy (er.mohd.amir):
A
OpenStudy (anonymous):
and ....
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OpenStudy (anonymous):
u r sure
OpenStudy (anonymous):
can u help me with more
OpenStudy (er.mohd.amir):
i give U reason for all
OpenStudy (er.mohd.amir):
yes
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
Which equations show that the set of whole numbers is closed under addition?
Choose all answers that are correct.
A.
0 + (–1) = –1
B.
1 + 1 = 2
C.
2 + 0 = 2
D.
2 + (–1) = 1
OpenStudy (anonymous):
not b
OpenStudy (anonymous):
not d
OpenStudy (anonymous):
a and c
OpenStudy (er.mohd.amir):
whole numbers starts from 0,1,2,3......................
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OpenStudy (anonymous):
b and c
OpenStudy (er.mohd.amir):
yes
OpenStudy (anonymous):
Which sets of numbers are closed under subtraction?
Choose all answers that are correct.
A.
odd natural numbers
B.
rational numbers
C.
{0, 1}
D.
{0, 1, 2}
OpenStudy (anonymous):
c and d
OpenStudy (er.mohd.amir):
why c and d
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OpenStudy (anonymous):
and a
OpenStudy (er.mohd.amir):
0-1=-1 which is not in C
OpenStudy (anonymous):
best choice
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
d and a
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OpenStudy (er.mohd.amir):
among all B is correct
OpenStudy (anonymous):
and d
OpenStudy (anonymous):
not d
OpenStudy (er.mohd.amir):
closed means all output is in given set
OpenStudy (er.mohd.amir):
0-2 = -2 not in set D
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OpenStudy (anonymous):
4 some reasons so only b
OpenStudy (er.mohd.amir):
yes only B
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Numbers p and q are negative integers.
Which statements are always true?
Choose all answers that are correct.
A.
p + q is a negative integer
B.
p • q is a positive integer
C.
p – q is a negative integer
D.
is a negative integer
OpenStudy (anonymous):
d p out of Q
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OpenStudy (anonymous):
a and d
OpenStudy (anonymous):
am i correct
OpenStudy (er.mohd.amir):
addition of two -ve numbers is also -ve
OpenStudy (anonymous):
so
OpenStudy (er.mohd.amir):
multipication of two -ve is +ve number
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OpenStudy (anonymous):
not b
OpenStudy (er.mohd.amir):
subtraction of two -ve int. may be -ve or +ve
OpenStudy (anonymous):
that is a maybe so no c
OpenStudy (er.mohd.amir):
so A and B are correct
OpenStudy (er.mohd.amir):
complete the D part
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OpenStudy (anonymous):
not b is wrong it will be positive
OpenStudy (anonymous):
yes i get it
OpenStudy (anonymous):
Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.
A.
Yes, because the sum of any two multiples of 4 is also a multiple of 4.
B.
Yes, because the sum of any two multiples of 4 is also a multiple of 8.
C.
No, and a counterexample is –4 + (–8) = –12.
D.
No, and a counterexample is 26 + 16 = 42.
OpenStudy (er.mohd.amir):
if p and q are -ve then p+q is -ve , p*q is +ve , p-q may be +ve or -ve
OpenStudy (er.mohd.amir):
A
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OpenStudy (anonymous):
not d
OpenStudy (anonymous):
ok
OpenStudy (er.mohd.amir):
26 is not multiple of 4
OpenStudy (anonymous):
wait one sec
OpenStudy (anonymous):
thanks passed
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