Math, asked by sundaraysoubhagyaran, 6 months ago

let a and b integers. by the law of contrapositive prove if ab even then either a is even b is even :​

Answers

Answered by knjroopa
1

Step-by-step explanation:

Given let a and b integers. by the law of contrapositive prove if ab even then either a is even b is even :

  • Now a and b are integers.
  • Now we have contrapositive (if not q then not p)
  • that if p then q it is negation q  negation p
  • Suppose consider a is even and b is also even then ab will be even.
  • Suppose consider a is odd and b is also odd then ab will be odd
  • Suppose consider a is even and b is odd then ab will be even
  • Suppose consider a is odd and b is even then ab will be even
  • Now suppose a statement is made
  • If a and b is odd then ab is odd
  • So a and b will be p and ab will be q This will be p implies q
  • Contrapositive will be negation q implies negation p
  • Therefore if ab is even then either a is even or b is even

Reference link will be

https://brainly.in/question/6875337

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