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

1.	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.
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.

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