Question

The following are subsets of u ={5,10,15,20,25,30,35,40,45,50}, except?
a. {10,20,30,50}
b. {5,10,15,20,25,37,40}
c.{5,10,25}
d.{ }

Answer 1

Answer:

In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion

Step-by-step explanation:

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The following are subsets of

U = {5,10,15,20,25,30,35,40,45,50} except

a. {10,20,30,50}

b. {5,10,15,20,25,37,40}

c. {5,10,25}

d. { }

CONCEPT TO BE IMPLEMENTED

Set

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Subset

A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T

EVALUATION

Here the given set is

U = {5,10,15,20,25,30,35,40,45,50}

CHECKING FOR OPTION : (a)

Let A = {10,20,30,50}

Since every element of A is an element of U

So A is a subset of U

CHECKING FOR OPTION : (b)

Let B = {5,10,15,20,25,37,40}

Since 37 is an element of B but not an element of U

So B is not a subset of U

CHECKING FOR OPTION : (c)

Let C = {5,10,25}

Since every element of C is an element of U

So C is a subset of U

CHECKING FOR OPTION : (d)

Let E = { }

Since E is empty set

So E contains no element

So E is a subset of U

FINAL ANSWER

Hence the correct option is

b. {5,10,15,20,25,37,40}

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