Question

Consider set A: A={2,17,19,25} If B⊂A, which set could be B?

A) {17,25}
B) {3,12,19}
C) {2,4,19,25}
D) {17,19,25,32}

Answer 1

Set B must contain elements that are all within set A. The only option provided that satisfies this condition is A) {17,25}. Hence, A) {17,25} could be set B.

Step-by-step explanation:

If set B is a subset of set A, which means all elements of B must also be elements of A without any additional members. Given set A as A={2,17,19,25}, let's consider each set to determine which could be B.

• A) {17,25} - This set could be B because both 17 and 25 are elements of set A.
• B) {3,12,19} - This set cannot be B because 3 and 12 are not elements of set A.
• C) {2,4,19,25} - This set cannot be B because it includes 4 which is not an element of set A.
• D) {17,19,25,32} - This set cannot be B because it includes 32 which is not an element of set A.

Thus, the correct answer is A) {17,25}, as it is the only set that consists of elements that are all contained within set A.