Write the following sets in roster form: G = { x : x ∈ N , 5 < x < 12 }

The given set is G = { x : x ∈ N , 5 < x < 12 } A set can be represented in different ways. One of them is Roster or tabular method. In this method, we list or tabulate all the elements of the set. The elements are written inside a pair of curly brackets separated by commas. Here, x belongs to natural numbers lies between 5 and 12 The natural numbers between 5 and 12 are 6 , 7 , 8 , 9 , 10 , 11 So, the given set can be written in Roster method as G = { 6 , 7 , 8 , 9 , 10 , 11 } .

Write the following sets in roster form: I = { x : x = 3 n , n ∈ N , 27 < n < 216 }

The given set is I = { x : x = 3 n , n ∈ N , 27 < n < 216 } A set can be represented in different ways. One of them is Roster or tabular method. In this method, we list or tabulate all the elements of the set. The elements are written inside a pair of curly brackets separated by commas. Here, x is natural number which is multiple of 3 lies 27 and 216 The multiples of 3 between 27 and 216 are 30 , 33 , 36 , 39 , . . . , 213 So, the given set can be written in Roster method as I = { 30 , 33 , 36 , 39 , . . . , 213 } .

Write the following sets in roster form: J = { x : x = 5 n - 3 , n ∈ W and n < 3 }

The given set is J = { x : x = 5 n - 3 , n ∈ W and n < 3 } A set can be represented in different ways. One of them is Roster or tabular method. In this method, we list or tabulate all the elements of the set. The elements are written inside a pair of curly brackets separated by commas. Here, n is whole number which is less than 3 . Thus, n = 0 , 1 , 2 And, x = 5 n - 3 Take n = 0 , then x = 5 × 0 - 3 = - 3 Take n = 1 , then x = 5 1 - 3 = 2 Take n = 2 , then x = 5 × 2 - 3 = 7 By taking n = 0 , 1 , 2 we get: x = - 3 , 2 , 7 So, the given set can be written in Roster method as J = { - 3 , 2 , 7 } .