SAT Math Question of the Day

Math Category: Algebraic Sets:

Q: What is the union of Set A = {2,4,5,8,9} and Set B = {4,5,6,7,9}?

  1. {2,6,7,8}
  2. {0,1,3}
  3. {4,5,9}
  4. {2,4,5,6,7,8,9}
  5. {2,4,6,8}

UNANSWERED.

The correct answer is D.

A: {2,4,5,6,7,8,9} is the answer.

To find the union of 2 sets, list all the elements from either set. So to get the union, we first include all the elements from Set A: 2,4,5,8,9.

Then we add in the elements from Set B = {4,5,6,7,9} one at a time:
The 4 and 5 are already in the union, so we don't need to list them twice.
Add in the 6: union = 2,4,5,6,8,9
Add in the 7: union = 2,4,5,6,7,8,9
The 9 is already in the union, so we don't need to list it twice.
We finished adding all the elements from Set B to Set A, so we're done. We have the union of Set A and Set B.