Question

If A={5,6,7,...} and B={x∣2n+4,n∈{2,3,4,5}}, what is the roster for B?

A) {6,8,10,12}
B) {8,10,12,14}
C) {10,12,14,16}
D) {12,14,16,18}

Answer 1

By applying the formula x = 2n + 4 to the set {2, 3, 4, 5}, we get the roster for set B as {8, 10, 12, 14}, corresponding to option B.

Step-by-step explanation:

To find the roster for set B, we apply the provided formula x = 2n + 4 to each value of n in the given set {2, 3, 4, 5}.

• For n = 2, x = 2(2) + 4 = 8
• For n = 3, x = 2(3) + 4 = 10
• For n = 4, x = 2(4) + 4 = 12
• For n = 5, x = 2(5) + 4 = 14

Thus, the roster for set B is {8, 10, 12, 14}, which corresponds to answer choice B).