Question

ection - A
1 Select and write the most appropriate answer from given alternatives
) If A = {2, 3, 4, 5, 6} then which of the following is not true
a) 3 X E A such that x + 3 = 8 b) 3 X e A such that x + 2 <5
c) VX EAX +2<9
d) V X = A X +6 29​

Answer 1

Step-by-step explanation:

False

Let A={1,2} and B={1,{1,2},{3}}

2∈{1,2} and {1,2}∈{{3},1,{1,2}}

Now,

∴A∈B

However, 2∈{{3},1,{1,2}}

(ii) False.

As A⊂B, B∈C

Let A={2},B={0,2}, and C={1,{0,2},3}

However, A∈C

(iii) True

Let A⊂B and B⊂C.

Let x∈A

⇒x∈B        [∵A⊂B]

⇒x∈C