Question

10. IfA (x:x is a multiple of 2), then which of the following is not a subset of A?[

a) (x:x is a multiple of 4, x<40}

c) (x:x is a multiple of 8, x<80}

b) (x:x is a multiple of 6, x<60}

d) (x:x is a multiple of 9, x<90)

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Answer 1

Answer:

Option d

Step-by-step explanation:

Given:-

A = {x:x is a multiple of 2}

To find:-

which of the following is not a subset of A?

a) (x:x is a multiple of 4, x<40}

c) (x:x is a multiple of 8, x<80}

b) (x:x is a multiple of 6, x<60}

d) (x:x is a multiple of 9, x<90)

Solution:-

Given set is A = {x:x is a multiple of 2}

A={2,4,6,8,10,...}

It is an infinite set ,since it has infinite number of elements.

Subset:-

A and B are two sets then every element of A is in B then A is called the sub set of A.

Checking Options:-

a) {x:x is a multiple of 4, x<40}:-

=>{4,8,12,16,..,36}

Every element of this set is in the given set A.

So This set is a subset of the set A

c) {x:x is a multiple of 8, x<80}:-

={8,16,24,...,76}

Every element of this set is in the given set A.

So This set is a subset of the set A

b) {x:x is a multiple of 6, x<60}:-

=> {6,12,18,...,54}

Every element of this set is in the given set A.

So This set is a subset of the set A

d) {x:x is a multiple of 9, x<90}:-

={9,18,27,...,81}

Every element of this set is not in the given set A.

So This set is not a subset of the set A

Answer:-

{x:x is a multiple of 9, x<90} is not a subset of the given set A.

Used Concept:-

• A and B are two sets then every element of A is in B then A is called the sub set of A.

Answer 2

Answer:

d) {×:×} is a multiple of 9,×<90