13. Let F = {x ER|x is defined }. Then, F is a proper subset of R. %3D 14. If G = {y € R |y = cos x; x €R}, then, G is an improper subset of R. 15. Let P = {x €R|x? = 16} and Q = {x €R| |x| = 16}. Then P = Q. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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13 14 15
Read the following items carefully. Write-by-hand your solutions and/or proofs in short bond papers
(or any white-colored writing surface) with proper order, presentation and neatness. Using the CAM-
SCANNER app, take a digital photograph of your answer sheets and convert it into PDF.
I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write
the term(s) that will make the statement true.
1. If MCN, then MAN = Ø.
2. If XnY = ø, then XAY = X - Y.
3. If I = N1000000000000000, then I is infinite.
4. If C = {x € R | cot x = 0}, then, C| = 3.
%3D
5. If K = { 8n |1 <n< 10}, then |K| = 10.
%3D
6. Let A = {x € R|x? = 64 }. Then, P(A)| = 16.
7. Let D = {x € Q|x² = 5}. Then, D is singleton.
8. Let H = {x € R| –1<x<1}. Then, H is finite.
9. If E = {x € Z| – 2 < x < 1}, then, E is empty.
10. If L = {3* |x = 1,2, 3, 4, 5}, then L is an infinite set.
11. If J= {x € Z|0 < x < 4}, then J has exactly 9 subsets.
12. Let E = {even integers} and O = {odd integers}. Then, E > [0].
%3D
%3D
%3D
%3D
%3D
13. Let F = {x €R|x is defined }. Then, F is a proper subset of R.
%3D
14. If G = {y € R|y = cos x; x € R}, then, G is an improper subset of R.
%3D
15. Let P = {x € R|x² = 16} and Q = {x €R||x| = 16}. Then P = Q.
Transcribed Image Text:Read the following items carefully. Write-by-hand your solutions and/or proofs in short bond papers (or any white-colored writing surface) with proper order, presentation and neatness. Using the CAM- SCANNER app, take a digital photograph of your answer sheets and convert it into PDF. I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write the term(s) that will make the statement true. 1. If MCN, then MAN = Ø. 2. If XnY = ø, then XAY = X - Y. 3. If I = N1000000000000000, then I is infinite. 4. If C = {x € R | cot x = 0}, then, C| = 3. %3D 5. If K = { 8n |1 <n< 10}, then |K| = 10. %3D 6. Let A = {x € R|x? = 64 }. Then, P(A)| = 16. 7. Let D = {x € Q|x² = 5}. Then, D is singleton. 8. Let H = {x € R| –1<x<1}. Then, H is finite. 9. If E = {x € Z| – 2 < x < 1}, then, E is empty. 10. If L = {3* |x = 1,2, 3, 4, 5}, then L is an infinite set. 11. If J= {x € Z|0 < x < 4}, then J has exactly 9 subsets. 12. Let E = {even integers} and O = {odd integers}. Then, E > [0]. %3D %3D %3D %3D %3D 13. Let F = {x €R|x is defined }. Then, F is a proper subset of R. %3D 14. If G = {y € R|y = cos x; x € R}, then, G is an improper subset of R. %3D 15. Let P = {x € R|x² = 16} and Q = {x €R||x| = 16}. Then P = Q.
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