Question

Let S = {1, 3, 5, 7}. Define the set J = j ∈ S. List the elements of J.

Answer 1

Answer: Elements of J = {-9,7,39,87}

Explanation:

Since we have given that

S={1,3,5,7}

Define of set J is given by

`J=\{2j^2-11:j\epsilon S\}`

Put j = 1

`2j^2-11\\\\=2-11\\\\=-9`

Put j = 3

`2(3)^2-11\\\\=2* 9-11\\\\=18-11\\\\=7`

Put j = 5

`2(5)^2-11\\\\=2* 25-11\\\\=50-11\\\\=39`

Put j = 7

`2(7)^2-11\\\\=2* 49-11\\\\=98-11\\\\=87`

Hence, elements of J = {-9,7,39,87}