SET AND SET OPERATIONS - Part 1

SETS AND SET OPERATIONS - Part 1

​PRESENTED BY: MS. MARLA MANLANGIT

a. Set H is the set of all prime numbers less than 10.
H = {2, 3, 5, 7}

b. Set J is the set of all composite numbers.
J = {4, 6, 8, 9, 10, 12, ...}

examples

• refers to the number of elements in the set

• it is denoted by n(A) or |A|

n(H) or |H|= 4
n(J) or |J| = ∞

CARDINALITY OF A SET: fINITE SET VS INFINITE SET

let's practice

Multiple Choice

Determine whether each set is finite or infinite. If it is finite, then find its cardinality. Set A is the set of all multiples of 10 between 300 and 400.

• finite set

  |A| = 10

• finite set

  |A| = 11

• finite set

  |A| = 9

• infinite set

Multiple Choice

Determine whether each set is finite or infinite. If it is finite, then find its cardinality.

Set B is the set of all fractions between 0 and 1.

• finite set

  |B| = 10

• finite set

  |B| = 20

• finite set

  |B| = 100

• infinite set

Set S is a set of odd counting number less than 0.

S = { } or S = ∅

example

• it is possible that a set has no element
  

empty or null set

let's practice

Open Ended

IS AN EMPTY SET A FINITE SET?

superset

subset

Subset and superSet

let's practice

Multiple Choice

Determine if the given set is a subset of C = {p, e, n, c, i, l}.

D = {p, e, n}

• Yes

• No

Multiple Choice

Determine if the given set is a subset of C = {p, e, n, c, i, l}.

E = {p, e, n, s}

• Yes

• No

equivalent set

Two sets that have the same elements.

F = {r, e, a, d}
G = {d, e, a, r}
F = G

equal set

equal and equivalent sets

let's practice

Multiple Select

Which of the following pairs of sets are equal?

• A = {1, 2, 3} and B = {3, 2, 1}

• C = { 2, 4, 6} and D = {2, 3, 4}

• F = {a, b, c, d, e} and G = {A, B, C, D}

• H = {apple, banana, berry} and J = {berry, apple, banana}

Multiple Choice

Which of the following pair of sets are equivalent set?

• A = {1, 2, 3} and B = {3, 2}

• C = { 2, 4, 6, 8} and D = {2, 3, 4}

• F = {a, b, c, d, e} and G = {A, B, C, D}

• H = {apple, banana, berry} and J = {<, %, >}

Write all the proper subsets of D = {1, 3, 5}

{1}, {3}, {5}, {1, 3}, {1, 5}, {3, 5}, { }

Example

• is a subset that contains some, but not all, of the elements of the original set

Proper subset

Open Ended

What is your key take away in this lesson?