Answer: Elements of J = {-9,7,39,87}
Step-by-step explanation:
Since we have given that
S={1,3,5,7}
Define of set J is given by
[tex]J=\{2j^2-11:j\epsilon S\}[/tex]
Put j = 1
[tex]2j^2-11\\\\=2-11\\\\=-9[/tex]
Put j = 3
[tex]2(3)^2-11\\\\=2\times 9-11\\\\=18-11\\\\=7[/tex]
Put j = 5
[tex]2(5)^2-11\\\\=2\times 25-11\\\\=50-11\\\\=39[/tex]
Put j = 7
[tex]2(7)^2-11\\\\=2\times 49-11\\\\=98-11\\\\=87[/tex]
Hence, elements of J = {-9,7,39,87}