State whether the following statements are true or false: (i) 1 { 1,2,3} (ii) a ⊂ {b,c,a} (iii) {a} {a,b,c} (iv) {a,b} = {a,a,b,b,a} (v) The set {x:x + 8 = 8} is the null set.

Question

Philoid · Accepted Answer

(i) True

1 belongs to the given set as it is present in it.

(ii) False

{a} ⊂ {b,c,a}

This is the write form to write it or a ϵ {b,c,a}

(iii) False

{a} ⊂ {b,c,a}

This is the write form to write it or a ϵ {b,c,a}

(iv) True

We do not repeat same elements in a given set.

∴ The given set can be written as {a,b}

(v) False

X+8 = 8

i.e. x = 0

{0} It is not a null set

State whether the following statements are true or false:(i) 1 { 1,2,3}(ii) a ⊂ {b,c,a}(iii) {a} {a,b,c}(iv) {a,b} = {a,a,b,b,a}(v) The set {x:x + 8 = 8} is the null set.

State whether the following statements are true or false:
(i) 1 { 1,2,3}

(ii) a ⊂ {b,c,a}

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

(iv) {a,b} = {a,a,b,b,a}

(v) The set {x:x + 8 = 8} is the null set.