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The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. а. VxEZ, 5x? +1 < 6. b. 3! x E Z s.t. 6x² – x – 1 = 0. c. 12x + 18y = 40 has integral solutions. • () · ) - () - () - () -()- 6. d. 6. 6. 6. + + 1024 4 7 + + 3 е. 1024 %3D e.

The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. а. VxEZ, 5x? +1 < 6. b. 3! x E Z s.t. 6x² – x – 1 = 0. c. 12x + 18y = 40 has integral solutions. • () · ) - () - () - () -()- 6. d. 6. 6. 6. + + 1024 4 7 + + 3 е. 1024 %3D e.

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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The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. а. xеZ, 5x2 + 1 < 6. b. Э! х€ Z s.t. бх? — х — 1 — 0. с. 12х + 18у = 40 has integral solutions. () - ()-()-) () - ) - () -) 6. d. 6. + + 6. = 1024 6. б %3D 4 7 + 3 7 + 7 е. = 1024 %3D 1 5
Transcribed Image Text:The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. а. xеZ, 5x2 + 1 < 6. b. Э! х€ Z s.t. бх? — х — 1 — 0. с. 12х + 18у = 40 has integral solutions. () - ()-()-) () - ) - () -) 6. d. 6. + + 6. = 1024 6. б %3D 4 7 + 3 7 + 7 е. = 1024 %3D 1 5
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