Question

write the roaster form of {x:x is a factor of 42}
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Answer 1

Step-by-step explanation:

The Kader Toy Factory fire occurred on 10 May 1993 at a factory in Thailand. It is considered the worst industrial factory fire in history, killing 188 persons, and injuring over 500.[1] Most of the victims were young female workers from rural families. More people were killed than in the Triangle Shirtwaist Factory fire; despite this, the incident received little media attention outside Thailand. The factory was owned by the Charoen Pokphand (CP) Group, a Thai transnational corporation and one of Asia's largest agribusiness firms.

Answer 2

Question :

For A = {x|x is a prime factor of 42}, B ={x|5 < x ≤ 12, x ∈ N} and C = {1,4,5,6} verify A U (B U C) = (A U B) U C.

Union of two sets :

The union of the sets A and B is the set of all the element that belongs to either A or B or both. It is denoted by A U B(“A union B”).

Set builder form or rule method :

In this method the elements are described by a common property of the members.

We can represent a set of by stating a property which its elements satisfy. Thus,the set of natural numbers less than 10 is,

A = {x | x is a natural number,x <10}

Or

A = {x : x is a natural number and x <10}

•We can read this as “ A is the set of all elements x such that x is a natural number and x is less than 10.”

• ∈ - belongs to

SOLUTION:

A = {x|x is a prime factor of 42}

A = {2,3,7}

B ={x|5 < x ≤ 12, x ∈ N}

B = {6,7,8,9,10,11,12}

C = {1,4,5,6}

L.H.S -:

A U (B U C)

(B U C) = {6,7,8,9,10,11,12} U {1,4,5,6}

= {1,4,5,6,7,8,9,10,11,12}

A U (B U C) = {2,3,7} U {1,4,5,6,7,8,9,10,11,12}

A U (B U C) = {1,2,3,4,5,6,7,8,9,10,11,12}

R.H.S -:

(A U B) U C

(A U B) = {2,3,7} U {6,7,8,9,10,11,12}

= {2,3,6,7,8,9,10,11,12}

(A U B) U C = {2,3,6,7,8,9,10,11,12} U {1,4,5,6}

(A U B) U C = {1,2,3,5,6,7,8,9,10,11,12}

L.H S = R.H.S