Esamine whether the following statements are true or false : (i) {a,b} cancel(sub) {b,c} (ii) {a} in {a,b,c} (iii){phi} sub {a, b, c } (iv) {a,e} sub {x:x " is a vowel in the English alphabet "} (v) {x:xin W, x+5 =5}=phi (vi)a in {{a} , b} (vii) {a} sub {{a},b} (viii) {b,c} sub {a, c}} (ix) {a,a,b,b}={a,b} (x) {a,b,a, b,a,b...} " is an infinte set". (xi) If A= set of all circles of unit radius in a plane and B= set of all circles in the same plane thenA sub B.

Esamine whether the following statements are true or false : (i) {a,b}

1.	Esamine whether the following statements are true or false : (i) {a,b} cancel(sub) {b,c} (ii) {a} in {a,b,c} (iii){phi} sub {a, b, c } (iv) {a,e} sub {x:x " is a vowel in the English alphabet "} (v) {x:xin W, x+5 =5}=phi (vi)a in {{a} , b} (vii) {a} sub {{a},b} (viii) {b,c} sub {a, c}} (ix) {a,a,b,b}={a,b} (x) {a,b,a, b,a,b...} " is an infinte set". (xi) If A= set of all circles of unit radius in a plane and B= set of all circles in the same plane thenA sub B.
Answer» Solution :(ii) `a in {a,b,c}` is true, So, ` {a}, in { a,b,c}` is a false. (iii) `phi sub {a,b,c} " is true and " {phi} sub { a,b,c}` is false. (iv) `{a, E} sub {a, e, i,o,u}` is true. (V) ` {X:xin W, x + 5=5}={0}`. (vi) `{{a} , b }` has two elements , namely `{a}` and b. (vii) `{a}in {{ a} , b}`. So `{a}, sub {{a} , b}` is false. (viii) ` {b,c} in {a, {b, c}}`. So , ` {b, c } sub {a,{b,c}}` is false (ix) REPETITION of elements in a set has no meaning. (x) Given set ` = {a,b}`, which is finite.