Question

1. Let A = { 2 , 3 , 4 , 5 , 6 , 7 } B = { 2 , 4 , 7, 8 } C = { 2 , 4 }. Fill in the blanks by ⊄ to make the resulting statements true

Answer 1

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4} ,then which of the following statements are True?

(a) B ⊂ A

(b) C ⊂ A

(c) B ⊆ C

(d) C ⊂ B

Medium

Solution

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Correct option is

B

Both (b) and (d)

Given A={2,3,4,5,6,7},B={2,4,7,8},C={2,4}

Let us find which of the following statements are true.

(a) Consider B⊂A

Since 8∈

/

A,B⊈A

Therefore the statement "B⊂A" is not true.

(b) Consider C⊂A

Since 2,4∈A,C⊂A

Therefore the statement "C⊂A" is true.

(c) Consider B⊆C

Since 7,8∈

/

C,B⊈C

Therefore the statement "B⊆C" is not true.

(d) Consider C⊂B

Since 2,4∈B,C⊂B

Therefore the statement "C⊂B" is true.

Thus both (b) and (d) are true.