ection – A1 Select and write the most appropriate answer from given alternatives) If A = {2, 3, 4, 5, 6} then which of the following is not truea) 3 X E A such that x + 3 = 8 b) 3 X e A such that x + 2 <5c) VX EAX +2<9d) V X = A X +6 29 About the author Mackenzie
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 Reply
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