1.

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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