Class Eleven: Maths

14 Notes
12 Questions
6 MCQs

Properties of Sets

Properties of Logic

Mathematical Logic

Connectives in Mathematical Logic

The Real Number System

Set Theory

Relations and Functions

Set Overview

SET •A well defined collection of distinct objects is called Set.•The members are called the elements of Set. The elements of the set are generally denoted by the small letters a,b,c,…..x,y,z.•The ...

Logic - An overview

Logic Logic is the process by which we arrive at a conclusion from the given statement with a valid reason.Statement An assertion expressed in words or symbols, which is either true o...

Real Numbers - Overview

Real Numbers A Real Number is any positive or negative number which includes integers, rational and irrational numbers. In simple terms, all the numbers except complex number(numbers which ...

Truth Table

Hello Readers!!Please go through this note before reading this!!Truth Table for Logical Connectives(where ' p ' and ' q ' are two statements)1. Negationpq~p~qTTFFTFFTFTTFFFTT2.Conjunctionpqp ᴧ q...

Real Numbers- Axioms

Hello Readers!!Click Here for a quick overview of Real numbers before proceeding with this note!!! :) Field Axioms1.Addition axiomi. Closure Property :The sum of real number is always real value.i...

Real Numbers - Number Line

Hello Viewers!!Before understanding the number line, please visit this note for the basics. Inequality An inequality is a relation which shows the comparison between two non-equal numbers or ex...

Real Numbers - Absolute Value

Hello Readers!!Go through initial notes of Real Numbers before surfing here!! ^_^Absolute Value If x is an non- negative real number then its absolute is denoted by |x| which is defined as, ...

Consider a set of disease causing viruses and they show symptoms after infecting a person which are more or less similar. If any two viruses after exchanging the genetic material gives rise to a mu...

Consider a set of disease causing viruses and they show symptoms after infecting a personwhich are more or less similar. If any two viruses after exchanging the genetic material givesrise to a muta...

Theoretical application of set in Covid 19 for child, young and adult. By giving appropriate example. (specified place like:Kathmandu, Pokhara, Birgunj, Janakpur,etc)

What is statement and how can we identify them?For eg : Elephants have long trunk. Men are selfish.Which one is statement and why? Justify

Construct truth table for: (p ⇒ q) ⇔ (~p ν q)

Construct truth table for (p ⇔ q) ν (q ⇔ r)

if x,y,z are the elements from the set of real numbers prove that l x-y l +l y-z l >l x-z l

Construct a truth table for (~p)^q (~p) v (~q)~(p^q)~[p v (~q)]

1. sol:

P

q

~p

~p ^ q

T

T

F

F

T

F

T

F

F

F

T

T

F

F

T

F

Which of the following sentence are statement? Find the truth value of those sentences which are statements.Kathmandu is the capital of Nepal.Nepal exports oil.3+5=8Where do you live?Understand log...

Statement; true
Statement; false
Statement; true
Interrogative sentence; not a statement
Imperative sentence; not a statement
Exclamatory sentence; not a statement

If A = {x:x= 2n+1, n<= 5, n€N } and B = {x:x= 3n-2, n<= 4, n€N }, find A U B, A n B and B- A

Let A= [-3, 1) and B = [ -2, 4]Find A - B and B - A

Prove: ~(p v ( ~q)) = ( ~p) ^q