Question

Which of the following is true? * {1,2}⊂{1,{2},3}
{2,{1}}⊂{1,{2},3}
{2}⊂{1,{2},3}
{1,{2}}⊂{1,{2},3}​

Answer 1

Answer:

,{2}}⊂{1,{2},3} is the correct answer

Answer 2

Answer:

The true statement is {1,{2}}⊂{1,{2},3}​

Step-by-step explanation:

Let A = {1,{2},3}

The subsets of the set A = {Ф, {1}, {{2}}, {3}, {1,{2}}, {1,3}, {{2},3}, {1,{2},3}}

Let us analyze each options

{1,2}⊂{1,{2},3}

This is not true because 2∉ {1,{2},3}, hence  {1,2}⊄{1,{2},3}

{2,{1}}⊂{1,{2},3}

This is not true because {1} ∉ {1,{2},3}, hence {2,{1}}  ⊄{1,{2},3}

{2}⊂{1,{2},3}

This is not true because 2 ∉ {1,{2},3}, hence {2} ⊄{1,{2},3}

{1,{2}}⊂{1,{2},3}​

This is true because 1,{2} ∈ {1,{2},3}, hence{1,{2}}⊂{1,{2},3}

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