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Consider the following statement. 8 V integer d, if. is an integer then d = 4. Which of the following is a negation for the statement? 8 O3 an integer d such that. is not an integer and d = 4. d 8 O3 an integer d such that is an integer and d # 4. d Ov integer d, if is not an integer, then d # 4. 8 d 8 Ov integer d, if d = 4, then 8 Ov integer d, if d = 4, then is not an integer. is an integer.

Consider the following statement. 8 V integer d, if. is an integer then d = 4. Which of the following is a negation for the statement? 8 O3 an integer d such that. is not an integer and d = 4. d 8 O3 an integer d such that is an integer and d # 4. d Ov integer d, if is not an integer, then d # 4. 8 d 8 Ov integer d, if d = 4, then 8 Ov integer d, if d = 4, then is not an integer. is an integer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Consider the following statement:** ∀ integer \( d \), if \( \frac{8}{d} \) is an integer then \( d = 4 \). **Which of the following is a negation for the statement?** - ⬜ ∃ an integer \( d \) such that \( \frac{8}{d} \) is not an integer and \( d = 4 \). - ⬜ ∃ an integer \( d \) such that \( \frac{8}{d} \) is an integer and \( d \neq 4 \). - ⬜ ∀ integer \( d \), if \( \frac{8}{d} \) is not an integer, then \( d \neq 4 \). - ⬜ ∀ integer \( d \), if \( d \neq 4 \), then \( \frac{8}{d} \) is not an integer. - ⬜ ∀ integer \( d \), if \( d = 4 \), then \( \frac{8}{d} \) is an integer.
Transcribed Image Text:**Consider the following statement:** ∀ integer \( d \), if \( \frac{8}{d} \) is an integer then \( d = 4 \). **Which of the following is a negation for the statement?** - ⬜ ∃ an integer \( d \) such that \( \frac{8}{d} \) is not an integer and \( d = 4 \). - ⬜ ∃ an integer \( d \) such that \( \frac{8}{d} \) is an integer and \( d \neq 4 \). - ⬜ ∀ integer \( d \), if \( \frac{8}{d} \) is not an integer, then \( d \neq 4 \). - ⬜ ∀ integer \( d \), if \( d \neq 4 \), then \( \frac{8}{d} \) is not an integer. - ⬜ ∀ integer \( d \), if \( d = 4 \), then \( \frac{8}{d} \) is an integer.
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