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Which of the following formulae are true where the predicate P(x,y) denote the statement x>y? Select all that are true. Select one or more: ☐a. 3xEZ. 3уEZ. P(x,y) b. ³x. vy€Z. P(x,y) VXEZ. ³€Z. P(x,y) d. VXEZ. Vy€Z. P(x,y) O C. Which of the following formulae are true where the predicate P(x,y) denote the statement x>0 and Q(x,y) denote the statement x<0? Select all that are true. Select one or more: a. VXEZ. (P(x) v Q(x)) b. c. ³x€Z. (P(x) ^ Q(x)) d. (EXEZ. P(x)) ^ (3×€ Z. Q(x)) (VXEZ. P(x)) V (VXEZ. Q(x))

Which of the following formulae are true where the predicate P(x,y) denote the statement x>y? Select all that are true. Select one or more: ☐a. 3xEZ. 3уEZ. P(x,y) b. ³x. vy€Z. P(x,y) VXEZ. ³€Z. P(x,y) d. VXEZ. Vy€Z. P(x,y) O C. Which of the following formulae are true where the predicate P(x,y) denote the statement x>0 and Q(x,y) denote the statement x<0? Select all that are true. Select one or more: a. VXEZ. (P(x) v Q(x)) b. c. ³x€Z. (P(x) ^ Q(x)) d. (EXEZ. P(x)) ^ (3×€ Z. Q(x)) (VXEZ. P(x)) V (VXEZ. Q(x))

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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Predicate and quantifiers 

Which of the following formulae are true where the predicate P(x,y) denote the statement x>y? Select all that are true. Select one or more: a. 3xEZ. ³уEZ. P(x,y) п ь. XEZ. VEZ. P(x,y) VXEZ. ³уEZ. P(x,y) nd. VXEZ.VEZ. P(x,y) C. Which of the following formulae are true where the predicate P(x,y) denote the statement x>0 and Q(x,y) denote the statement x≤0? Select all that are true. Select one or more: a. VXEZ. (P(x) V Q(x)) b. (VXEZ. P(x)) v (VXEZ. Q(x)) C. EXEZ. (P(x) ^ Q(x)) O d. (3xEZ. P(x)) ^ (3x€ Z. Q(x))
Transcribed Image Text:Which of the following formulae are true where the predicate P(x,y) denote the statement x>y? Select all that are true. Select one or more: a. 3xEZ. ³уEZ. P(x,y) п ь. XEZ. VEZ. P(x,y) VXEZ. ³уEZ. P(x,y) nd. VXEZ.VEZ. P(x,y) C. Which of the following formulae are true where the predicate P(x,y) denote the statement x>0 and Q(x,y) denote the statement x≤0? Select all that are true. Select one or more: a. VXEZ. (P(x) V Q(x)) b. (VXEZ. P(x)) v (VXEZ. Q(x)) C. EXEZ. (P(x) ^ Q(x)) O d. (3xEZ. P(x)) ^ (3x€ Z. Q(x))
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