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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