Q. 54.2( 12 Votes )

# Which of the following statements are correct? Write a correct form of each of the incorrect statements.

(i) a ⊂ {a,b,c}

(ii) {a} {a,b,c}

(iii) a {{a},b}

(iv) {a} ⊂ {{a},b}

(v) {b,c} ⊂ {a,{b,c}}

(vi) {a,b} ⊂ {a,{b,c}}

(vii) ϕ {a,b}

(viii) ϕ ⊂ {a,b,c}

(ix) {x:x + 3 = 3}= ϕ

Answer :

(i) In this a isn’t subset of given set but belongs to the given set.

∴ The correct form would be

a ϵ {a,b,c}

(ii) In this {a} is subset of {a,b,c}

∴ The correct form would be

{a} ⊂ {a,b,c}

(iii) In this a is not the element of the set.

∴ The correct form would be

{a} ϵ {{a},b}

(iv) In this {a} is not athe subset of given set

∴ The correct form would be

{a} ϵ {{a},b}

(v) {b,c} is not a subset of given set. But it belongs to the given set.

∴ The correct form would be

{b,c} ϵ {a,{b,c}}

(vi) {a,b} is not a subset of given set

∴ The correct form would be

{a,b} {a,{b,c}}

(vii) ϕ does not belong to given set but it is subset

∴ The correct form would be

ϕ ⊂ {a,b}

(viii) True ϕ is subset of every set

(ix) X+3=3

X=0

{0}

It is not ϕ

∴ The correct form would be

{x:x + 3 = 3}= {0}

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