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