Question

let A=(1,2,3,4,5) and B=(x) x is an even number greater than 4. fill in the blanks with proper symbol € or € cross (a) 6........B (B) 45........A (c) 33......B

Answer 1

A = {1, 2, 3, 4, 5}
B = {x , x is an even number greater than 4}
e.g., B = {6, 8, 10, 12, 14 , 16, 18, .......}
We have to choose sign ∈ or ∉ [ ∈ means belongs to and ∉ doesn't belong to ]

(a) 6 ∈ B
Because you can see elements of set B , here 6 lies .
Hence, we can say that 6 belongs to B or 6 ∈ B

(b) 45 ∉ A
Because , in set A there are only five elements i.g., 1, 2, 3, 4, 5
So, 45 doesn't belong to A or 45∉ A

(c) 33 ∉ B
Because , set B contains only even number greater than 4
So, 33 doesn't belong to B or 33 ∉ B

Answer 2

Given data:

A = {1, 2, 3, 4, 5}

B = {x : x is an even number greater than 4}

That is B = {6, 8, 10, 12, 14, 16, 18, 20...}

We have to choose sign ∈ or ∉ [ ∈ means belongs to and ∉ doesn't belong to ]

(a) 6 ____ B

B = {6, 8, 10, 12, 14, 16, 18, 20...}

Here 6 is in the set B.

Hence 6 ∈ B.

(b) 45 ____ A

A = {1, 2, 3, 4, 5}

In set A, there are only five elements which are 1, 2, 3, 4, 5.

So, 45 doesn't belong to A.

Hence 45 ∉ A.

(c) 33 ____ B

B = {6, 8, 10, 12, 14, 16, 18, 20...}

Here B contains only even numbers greater than 4.

But 33 is an odd number, so which is not in the set B.

Hence 33 ∉ B.

To learn more...

1. Let A = {1,2,3,4,5} and B = { x | x is an even number greater than 4 } .

https://brainly.in/question/3344587

2. If A = { x : x is a natural number }, B = { x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number }, find  B \cap C

https://brainly.in/question/6617805