SETS

Check whether the statements below are true or false, according to the questions above and give reasons for each statement!

P = {2,3,5,7}

Q = {3,5,7,9,11,13}

R = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

a. False

↬Not all elements in set P are in set Q.

b. False

↬The elements 2, 3, 5, and 7 can be found in set R and P, therefore it is a subset of set R.

c. True

↬All the elements in set P can be found in set R and set R has more elements in set P, therefore it is a proper subset.

d. True

↬The element 14 can be found in set R.

e. True

↬The element 13 can be found in set R.

Important Symbols in Sets

• ∪ - Union
• ∩ - Intersection
• ⊆ - Subset
• ⊂ - Proper Subset
• ⊄ - Not a Subset
• ∅ - Empty Set