Mathematical Reasoning

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

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Serial order wise

Statements
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Negation of Statements
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Compound Statements
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If then Statements
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Proving Statements true or false
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Examples
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Miscellaneous
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Concept wise

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