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Mathematical Reasoning

Master Mathematical Reasoning with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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This is Mathematical Reasoning - an important chapter in Logic in Mathematics.

 

In this chapter, we will study

  • What is a statement
  • Finding Negation of a statement (∼p)
  • What is a Compound Statement
  • Checking if compound statement with And is true or false
  • Checking if compound statement with Or is true or false
  • Checking if the Or is Inclusive or Exclusive
  • Quantifiers like There Exists and For all
  • Implications like "If-then", "only if" and "if and only if"
  • Contrapositive statements
  • Converse Statements
  • Proving statements true with
    • And
    • Or
    • If then
    • If and only if
    • By contradiction
    • By Contrapositive
  • Proving not true, or proving false by counter example

 

Click on a topic of exercise below to start.

Serial order wise

Statements Start Learning
Negation of Statements Start Learning
Compound Statements Start Learning
If then Statements Start Learning
Proving Statements true or false Start Learning
Examples Start Learning
Miscellaneous Start Learning

Concept wise

Statements Start Learning
Writing negation of statements Start Learning
Negation - Checking if true or not Start Learning
Finding Compound Statement Start Learning
Words 'And' & 'Or' Start Learning
Inclusive and exclusive or Start Learning
Quantifiers Start Learning
Contrapositive and converse Start Learning
If then Start Learning
If and only if Start Learning
Proving not true/false (by giving counter examples) Start Learning
Proving True - If and only if Start Learning
Proving True - By Contrapositive Start Learning
Proving True - By Contradiction Start Learning
Necessary and sufficient condition Start Learning

Why Learn This With Teachoo?

This is Mathematical Reasoning - an important chapter in Logic in Mathematics.

 

In this chapter, we will study

  • What is a statement
  • Finding Negation of a statement (∼p)
  • What is a Compound Statement
  • Checking if compound statement with And is true or false
  • Checking if compound statement with Or is true or false
  • Checking if the Or is Inclusive or Exclusive
  • Quantifiers like There Exists and For all
  • Implications like "If-then", "only if" and "if and only if"
  • Contrapositive statements
  • Converse Statements
  • Proving statements true with
    • And
    • Or
    • If then
    • If and only if
    • By contradiction
    • By Contrapositive
  • Proving not true, or proving false by counter example

 

Click on a topic of exercise below to start.