Translate each of the English sentence to mathematical sentence and vice versa. Then, state the truth value of every  sentence below.  1. There is a natural number such that when multiplied to itself is an integer. 2. For any integer when halved is a rational number. 3. There are two real numbers when added, their sum is zero. 4. For every non-integer, when added to 5, the sum is greater than -1

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ISBN:9780470458365
Author:Erwin Kreyszig
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Translate each of the English sentence to mathematical sentence and vice versa. Then, state the truth value of every 
sentence below. 


1. There is a natural number such that when multiplied to itself is an integer.
2. For any integer when halved is a rational number.
3. There are two real numbers when added, their sum is zero.
4. For every non-integer, when added to 5, the sum is greater than -1.
5. There exists an irrational number such that when it is multiplied to zero, the product is an integer.

16. Va ¢ N, a³ E Z
17. Э d, e € Q. (d/e) € Z
18. ЭјE Z-,G/-1) € W
19. Vp,f € R, p/ ¢ Q
20. V mE W,mт 21
Transcribed Image Text:16. Va ¢ N, a³ E Z 17. Э d, e € Q. (d/e) € Z 18. ЭјE Z-,G/-1) € W 19. Vp,f € R, p/ ¢ Q 20. V mE W,mт 21
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