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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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Question
Suppose that the given statements are true.
Find the other true statements.
(a) Given: If the window is above the door, then Austin's cousin is a girl.
Which statement must also be true?
- If Austin's cousin is a girl, then the window is above the door.
- If Austin's cousin is not a girl, then the window is not above the door.
- If the window is not above the door, then Austin's cousin is not a girl.
(b) Given: If the bike is fast, then Rachel sleeps on the floor.
The bike is fast.
Which statement must also be true?
- The bike is not fast.
- Rachel sleeps on the floor.
- Rachel does not sleep on the floor.
(c) Given: If David knows how to dance, then the tires are old.
If the tires are old, then my favorite movie is being shown.
Which statement must also be true?
- If my favorite movie is being shown, then the tires are old.
- If David knows how to dance, then my favorite movie is being shown.
- If my favorite movie is being shown, then David knows how to dance.
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