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For Each of the Following Statements, (1) Write the Statement \forall

Question 8

Essay

For each of the following statements, (1) write the statement informally without using variables or the symbols \forall or \exists , and (2) indicate whether the statement is true or false and briefly justify your answer.
(a) \forall integers a,a , \exists an integer bb such that a+b=0a + b = 0 .
(b) \exists an integer aa such that \forall integers b,a+b=0b , a + b = 0 .

Correct Answer:

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a. For any integer you might choose, you...

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