Question

If U={2,4,6,8,10,12}, then which of the following is the subset of U?

Option 1: {4,8,12}
Option 2: {1,3,5}
Option 3: {6,9,15}
Option 4: {2,3,4}

Answer 1

Option 1: {4,8,12} is the correct subset of U={2,4,6,8,10,12} since all the elements listed in Option 1 are contained in set U.

Step-by-step explanation:

If U={2,4,6,8,10,12}, then a subset of U is a set where every element in the subset is also an element of U. Looking at the options provided:

• Option 1: {4,8,12} is a subset because all these numbers are elements of set U.
• Option 2: {1,3,5} is not a subset because none of these numbers are in set U.
• Option 3: {6,9,15} is not a subset because 9 and 15 are not elements of set U.
• Option 4: {2,3,4} is not a subset because the number 3 is not an element of set U.

Therefore, the correct answer is Option 1: {4,8,12}, as it is the only option where all its elements can be found within set U.