X is the set of multiples of 3 ; Y is the set of multiples of 6; Z is the set of multiples of 9. Which one of the following is true? (⊂ means "subset")
a. X⊂Y
b. X⊂Z
c. Z⊂Y
d. Z⊂X
Answers
Answer:
d
Step-by-step explanation:
x contains 3, 6,9,12,15,.......
y contains 6,12,18,24........
z contains 9,18,27,36,.....
all elements of Y &Z are also in X and more
so according to options
Z is the subset of X
Answer:
The answer to the given question is option d
Step-by-step explanation:
Given :
X is the set of multiples of 3; Y is the set of multiples of 6; Z is the set of multiples of 9.
(⊂ means "subset")
To find :
we have to check which of the following is true.
The given options are
a. X⊂Y
b. X⊂Z
c. Z⊂Y
d. Z⊂X
Solution ;
The elements of X are {3,6,9,12,15,18,21,24}
multiples of 3
The elements of Y are {6,12,18,24,30,36}
multiples of 6
The elements of are {9,18,27,36,45,54}
multiples of 9
The symbol ⊂ means "subset".
The subset is a set where each of its elements is located in a bigger set called a superset.
The elements in Z will be in the set X and also thr elements in Y also will be in the set Y.
It means that set X contains all the elements of set Y and set Z.
According to this, the correct option for this question may be
Z⊂X
Y⊂X
but we have option d. Z⊂X
Hence, consider this a valuable option for the given question.
Therefore, the correct option for the given question is option d.
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