x is counting number less than 6B. Give all the subsets of the given sets.1. H =...

Questions

September 2022 1 5 Report

EXERCISES
Directions: Read and understand each item carefully. Write your
1.
answer on a sheet of paper.
A. Determine the number of subsets of the given sets.
H = {2}
2. F= { 8, 10}
3. M = {red, yellow, blue, white}
4. A = {a, e, i, o, u}
5. P = {x/x is counting number less than 6
B. Give all the subsets of the given sets.
1. H = {2}
2. F = { 8, 10}
3.
M = {red, yellow, blue, white}

Answers & Comments

Buteng27

Verified answer

Answer:

Step-by-step explanation:

DETERMINING THE NUMBER AND LIST OF SUBSETS:

A subset is a set whose elements are all members of another set. To easily get the number of subsets, we use a formula:

Formula: $2^{n}$

Where: n is the number of elements

A. Determine the number of subsets of the given sets:

1.) H = {2}

Number of element/s = 1

Formula: $2^{n}$

= $2^{1}$

= 2 subsets

2.) F = {8, 10}

Number of element/s = 2

Formula: $2^{n}$

= $2^{2}$

= 2 × 2

= 4 subsets

3.) M = {red, yellow, blue, white}

Number of element/s = 4

Formula: $2^{n}$

= $2^{4}$

= 2 × 2 × 2 × 2

= 16 subsets

4.) A = {a, e, i, o, u}

Number of element/s = 5

Formula: $2^{n}$

= $2^{5}$

= 2 × 2 × 2 × 2 × 2

= 32 subsets

5.) P = {x/x is a counting number less than 6}

Using the Roster Method: P = {1, 2, 3, 4, 5}

Number of element/s = 5

Formula: $2^{n}$

= $2^{5}$

= 2 × 2 × 2 × 2 × 2

= 32 subsets

B. List all the subsets of the given sets.

1.) H = {2}

Number of subsets: 2

The subsets are:

= {2}, { }

2.) F = {8, 10}

Number of subsets: 4

The subsets are:

= {8}, {10}, {8, 10}, { }

3.) M = {red, yellow, blue, white}

Number of subsets: 16

The subsets are:

= {red}, {yellow}, {blue}, {white}, {red, yellow}, {red, blue}, {red, white}, {yellow, blue}, {yellow, white}, {blue, white}, {red, yellow, blue}, {red, yellow, white}, {red, blue, white}, {yellow, blue, white}, {red, yellow, blue, white}, { }

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