Question

A = { x|x is an even natural number, 1 < x < 7 }. How to write this set in roster form?

Please justify your answer and don't spam, thank you!​

Answer 1

Answer:

A={x:x is an integer and-3<x<7}

The elements of this set are

-2,-1,0,1,2,3,4,5, and 6 only.

Therefore, the given set can be written in roster form as

A={-2,-1,0,1,2,3,4,5,6}

(ii) B=(x:x is a natural number less than 6}

The natural numbers less than 6 are 1,2,3,4,5

So, the elements of this set are 1,2,3,4,

and 5 only.

Therefore, the given set can be written in roster from as

B={1,2,3,4,5)

(iii) C=(x:x is a two-digit natural number such that the sum of its digits is 8}

The elements of this set are 17,26,35,44,53,62,71 and 80 only.

Therefore, this set can be written in

roster form as

C={17,26,35,44,53,62,71,80}

(iv) D=(x:x is a prime number which is a divisor of 60}

2160

2130

3115

515 55

..60=2×2×3×5

.. The elements of this set are 2,3, and

Step-by-step explanation:

only.

Therefore, this set can be written in roster form as D={2,3,5).

(v) E= The set of all letters in the word TRIGONOMETRY

There are 12 letters in the word TRIGONOMETRY, out of which the letters, T, R, and O are repeated. And we write the repeated letters once only.

Therefore, this set can be written in roster form as

E={T,R,I,G,O,N,M,E,Y}

(vi) F= The set of all letters in the word BETTER

There are 6 letters in the word BETTER, out of which letters E and T are repeated.

Therefore, this set can be written in roster form as

F={B,E,T,R}

Answer 2

Answer:

A ) { 2, 4,6} is correct answer

Step-by-step explanation:

Condition -

even natural number, 1 < x < 7

According to given condition the even natural numbers are more than 1 and less than 7. The even natural numbers between 1 to 7 are 2 , 4 , 6. Therefore Option A )

Is correct answer.