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Question -

Which of the following statements are correct? Write a correct form of each of the incorrect statements.
(i) a тКВ {a, b, c}
(ii) {a} {a, b, c}
(iii) a {{a}, b}
(iv) {a} тКВ {{a}, b}
(v) {b, c} тКВ {a,{b, c}}
(vi) {a, b} тКВ {a,{b, c}}
(vii) ╧Х {a, b}
(viii) ╧Х тКВ {a, b, c}
(ix) {x: x + 3 = 3}= ╧Х



Answer -

(i) This isnтАЩt subset of given set but belongs to the given set.
тИ┤ The correct form would be
a тИИ{a,b,c}
(ii) In this {a} is subset of {a, b, c}
тИ┤ The correct form would be
{a} тКВ {a, b, c}
(iii) тАШaтАЩ is not the element of the set.
тИ┤ The correct form would be
{a} тИИ {{a}, b}
(iv) {a} is not a subset of given set.
тИ┤ The correct form would be
{a} тИИ {{a}, b}
(v) {b, c} is not a subset of given set. But it belongs to the given set.
тИ┤ The correct form would be
{b, c} тИИ {a,{b, c}}
(vi) {a, b} is not a subset of given set.
тИ┤ The correct form would be
{a, b}тКД{a,{b, c}}
(vii) ╧Х does not belong to the given set but it is subset.
тИ┤ The correct form would be
╧Х тКВ {a, b}
(viii) It is the correct form. ╧Х is subset of every set.
(ix) x + 3 = 3
x = 0 = {0}
It is not ╧Х
тИ┤ The correct form would be
{x: x + 3 = 3} тЙа ╧Х

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