Question

The set containing all the elements a, satisfy a is less than 5 and a ∈ , is ?

Answer 1

Answer:

Given, Y = {1,2,3,...,10}

(i) Since  12,22,32 ∈ Y,

{a : a∈Y and a2 ∉ Y} = {4,5,6,7,8,9,10}

(ii) {a|a + 1 = 6, a∈Y} = {5}

(iii) {a|a is less than 6 and a ∈ Y} = {1,2,3,4,5}  

Step-by-step explanation:

Answer 2

Answer:

According to the question, Y = {1, 2, 3,…, 10} where a represents any element of Y Y = {1, 2, 3,…, 10} 12 = 1, 22 = 4, 32 = 9 1, 4, 9 ∈ Y ⇒ 1, 2, 3 do not satisfy given condition Hence, {a: a ∈ Y and a2∉ Y} = {4, 5, 6, 7, 8, 9, 10} (ii) According to the question, Y = {1, 2, 3,…, 10} where a represents any element of Y Y = {1, 2, 3,…, 10} a + 1 = 6 ⇒ a = 5 ⇒ 5 satisfies the given condition Hence, {a: a + 1 = 6, a ∈ Y } = {5} (iii) According to the question, Y = {1, 2, 3,…, 10} where a represents any element of Y Y = {1, 2, 3,…, 10} a is less than 6 ⇒ 1, 2, 3, 4, 5 1, 2, 3, 4, 5 satisfy the given condition Hence, {a: a is less than 6, a ∈ Y } = {1, 2, 3, 4, 5}Read more on Sarthaks.com - https://www.sarthaks.com/889660/and-represents-any-element-write-following-sets-containing-all-the-elements-satisfying