: Mod Maths : Reminders : Homeworks :

Apologies for the late post. I wasn't able to post yesterday because I was really tired. So here it is, for those who went to the counselling on the day the notes were given.

[Mod Maths notes]

*Continue after the notes on subsets in Venn Diagram*

4. The empty set is a subset of any set.

5. Every set is a subset for itself.

Example: 

<------->P = { a,b }

Subset of P = {a}, {b}, { }, {a,b}

6. The number of subsets for a set within element is 2ⁿ

Hence, n(P) = 2

-----=>number of subsets for P = 2²

<----------------------------------> = 4

Question : It is given that set A = { a, b, c}, B = { a, b, c, d, e, f}, C = { d, e, f} and D = {b, c, e, f}

a) Complete each of the following by using the symbol "¢" or "с"

  i) A __ B

 ii) C __ B

iii) C __ D

iv) D __ A

b) Draw Venn Diagrams to show the relationship between

 i) A and B

ii) C and B

c) State the number of subsets for set A and set D

set A = 2ⁿ

<->A = 2³

<--> = 8

set D = 2ⁿ

<-> D = 2^4

<-> D = 16

d) List the subsets for set A and set D

Subsets of A = {a}, {b}, {c}, { }, {a, b}, {b, c}, {a, c}, {a, b, c}

Subsets of D = {b}, {c}, {e}, {f}, {b, c}, {c, e}, {e, f}, {b, e}, {b, f}, {c, f}, {b, c, e}, {c, e, f}, {b, c, f}, {b, e, f}, {b, c, e, f}, { }

Universal Set

1. The universal set, ξ is a set which consists of all the elements under consideration in a given discussions.

Example: ξ = { whole numbers from 1 to 8 } 

<------->A = {3, 4, 5}

2. ξ = { letters in the word 'insect' }

> Q = { vowels }

Complement of Set

1. The complement of a set A (written as  A') is a set in universal set, ξ which contains all the elements not found in A.

Example: ξ = { whole numbers from 1 to 8 }

<------> A = { 3, 4, 5}

A' = {1, 2, 6, 7, 8}

2.  ξ = { letters in the word 'insect' }

> Q = { vowels }

Q' = { n, s, c, t}

Number of complements in set A

n(A') = n(ξ) - n(A)

<--> = 8 - 3

<--> = 5

___________________________________

: Homeworks :

*Those that needs to be done by tomorrow*

1. Biology - Do notes on Chapter 3.1 until the Simple Diffusion subtopic.

<------->- Exercises: Focus Prac 3.1 (pg 49). Answer in notebook.

<------->- Question 2: change the word 'active' to 'passive'

2. Mod Maths - Ex 3.2a Q6

<-----------> - Ex 3.2b Q4

<-----------> - Ex 3.2c Q2 & 3

: Reminders : 

1. Please bring an onion tomorrow for Bio's experiment.

2. Please bring a book in BM for the reading corner tomorrow, if you have any.

p/s: Those who did not submit their Karangan book today, please prepare yourself.