Sure! Here are the answers to the questions you provided:
a)
Elements of set P: {4, 8, 12, 16, 20}
Elements of set Q: {0, 5, 10, 15, 20}
b)
The sets P and Q are not equal because they have different elements. Set P consists of multiples of 4 (4, 8, 12, 16, 20) while set Q consists of multiples of 5 (0, 5, 10, 15, 20). Even though they both have the number 20 in common, the rest of their elements are different, making them unequal.
c)
If 0 and 26 are not in the universal set U, we can represent U using set-builder notation as follows:
U = {x : x is a natural number, 0 < x < 26}
This notation indicates that the universal set U consists of all natural numbers between 0 and 26 (not including 0 and 26).
I hope this helps clarify the questions you had! If you need further assistance, feel free to ask.
