Question

Decide, among the given sets, which sets are subsets of one and another: B={2, 3, 6}, C={2, 3, 6, 8,...}, D={6}

Answer 1

Answer:

D ⊂ B   & D ⊂ C

C ⊂ B

Step-by-step explanation:

B={2, 3, 6}

C={2, 3, 6, 8,...}

D={6}

D has only element 6  

& 6 is present in B & C Both

=> D is subset of B & C both

D ⊂ B   & D ⊂ C

C has 2 , 3 & 6

B has 2 , 3 , 6 & more

=> C is subset of B

C ⊂ B

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

DEFINITION

SUBSET : A set A is said to be a subset of B if every element of A is an element of B but not the converse

$\sf{ \:In \: set \: form \: it \: is \: written \: as \: \: A \subset B \: }$

TO DETERMINE

TO Decide, among the given sets, which sets are subsets of one and another:

• B={2, 3, 6}

• C={2, 3, 6, 8,...}

• D={6}

CALCULATION

RELATION BETWEEN B & C

Since every element of B is an element of C

$\sf{ \:Hence \: \: B \subset \: C \: }$

RELATION BETWEEN B & D

Since every element of D is an element of B

$\sf{ \:Hence \: \: \: D\: \subset \: B \: }$

RELATION BETWEEN C & D

Since every element of D is an element of C

$\sf{ \:Hence \: \: \: D\: \subset \: C \: }$

RESULT

In conclusion it is derived that

$\boxed{ \: \: \sf{ \:D \subset B \subset C \: \: \: }}$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

Represent all possible one-one functions from the set A = {1, 2} to the set B = {3,4,5) using arrow diagram.

https://brainly.in/question/22321917