Determine True or False. (i) 15 = 29 (mod 7) (ii) {1} C {{1},2, 3} (iii) Define f : R+ → R+ by f(x) = 1, then ƒ is a 1-1 but not onto function. (iv) If A C B, then Bº C A°. (v) Væ[x+5] = [x]+ 5. (R) (vi) If {x, y} € P(A), then x E A and y E A. (vii) (Vr)[x² + 6x + 5 2 0] (R)
Determine True or False. (i) 15 = 29 (mod 7) (ii) {1} C {{1},2, 3} (iii) Define f : R+ → R+ by f(x) = 1, then ƒ is a 1-1 but not onto function. (iv) If A C B, then Bº C A°. (v) Væ[x+5] = [x]+ 5. (R) (vi) If {x, y} € P(A), then x E A and y E A. (vii) (Vr)[x² + 6x + 5 2 0] (R)
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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![Determine True or False.
(i) 15 = 29 (mod 7)
(ii) {1} C {{1}, 2, 3}
(iii) Define f : R+ → R+ by ƒ (x) = 1, then f is a 1-1 but not onto function.
(iv) If A C B, then Bº C A°.
(v) Vr[x + 5] = [x] + 5.
(R)
(vi) If {x, y} € P(A), then x E A and y E A.
(vii) (Vx)[x² + 6x + 5 > 0]
(IR)
(viii) Vx3y[xy= 1]
(IR)
(ix) (VaVy)[x <y → (Jw) (x < w < y)]
(IR)
(R)
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Transcribed Image Text:Determine True or False.
(i) 15 = 29 (mod 7)
(ii) {1} C {{1}, 2, 3}
(iii) Define f : R+ → R+ by ƒ (x) = 1, then f is a 1-1 but not onto function.
(iv) If A C B, then Bº C A°.
(v) Vr[x + 5] = [x] + 5.
(R)
(vi) If {x, y} € P(A), then x E A and y E A.
(vii) (Vx)[x² + 6x + 5 > 0]
(IR)
(viii) Vx3y[xy= 1]
(IR)
(ix) (VaVy)[x <y → (Jw) (x < w < y)]
(IR)
(R)
[zh = zx]fiɛxA%E (x)
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