1. Ex. 2.5 # 18, 20. 24.. ?„. Prove that the product of a non-zero rational number and an irrational...

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1. Ex. 2.5 # 18, 20. 24.. ?„. Prove that the product of a non-zero rational number and an irrational number is irrational.3. Use a proof by cases to show that for any real numbers a. b and e. in in(a, rain(b, c)) = min(rttin(u, b). c).4. Prove or disprove that if a and b are rational numbers then at is also rational. 5. Prove that given a real number x. there exist unique numbers 71 and c such that x = n c where 71 is an integer and 0

David · Accepted Answer

Above table should give you a label of the logic gates, ina problem, just read from 
Left to right. In our specific example the same stands as: 
   ̅̅ ̅̅ ̅̅ ̅̅   ̅̅ ̅̅ ̅̅ ̅̅ ̅̅ ̅  ̅̅̅ ̅̅ ̅̅ ̅̅ ̅̅ ̅̅ ̅     ̅̅ ̅̅ ̅̅ ̅̅   ̿̿ ̿̿ ̿̿ ̿̿ ̿̿ ̿  
̅̅ ̅̅ ̅̅ ̅̅ ̅̅ ̅̅ ̅
, reading from top to down:

1. Ex. 2.5 # 18, 20. 24. . ?„. Prove that the product of a non-zero rational number and an irrational number is irrational. 3. Use a proof by cases to show that for any real numbers a. b and e. in...

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