Please provide full written explanations for 4 & 5. If false provide proper coun

Question

Please provide full written explanations for 4 & 5. If false provide proper counter example. is greater than Y, then-> 1 . If your answer is "False", then give a counter-example: 4. If a. True b. False 5. If X>Y, then X+Z> Y+Z. a. True b. False If your answer is "False", then give a counter-example:

Explanation / Answer

Dear Student Thank you for using Chegg !! 1) Given X > Y Now dividing both sides by Y we get X / Y > 1 Hence the given statement is true for all positive Y. However if Y is negative then the given statement is not TRUE Example Let X = 2, Y = -1 Clearly 2 > -1 But (2 / -1) = -2 Which is not greater than 1 FALSE 2) Given X > Y Now adding Z to both sides X + Z > Y + Z Now the given statement shall be true for al positive ad negatie values of Z TRUE

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