Suppose that the given statements are true. Find the other true statements. (a) Given: If Ivan's cousin is a girl, then the window is above the door. If the window is above the door, then the book was for sale online. Which statement must also be true? - If the window is above the door, then Ivan's cousin is a girl. - If the book was for sale online, then Ivan's cousin is a girl. - If Ivan's cousin is a girl, then the book was for sale online. (b) Given: If Jim likes the milk shake, then the play is a success. Jim likes the milk shake. Which statement must also be true? - The play is a success. - The play is not a success. - Jim does not like the milk shake. (c) Given: If Juan sleeps on the floor, then the bike is fast. Which statement must also be true? - If the bike is not fast, then Juan does not sleep on the floor. - If Juan does not sleep on the floor, then the bike is not fast. - If the bike is fast, then Juan sleeps on the floor.
Suppose that the given statements are true. Find the other true statements. (a) Given: If Ivan's cousin is a girl, then the window is above the door. If the window is above the door, then the book was for sale online. Which statement must also be true? - If the window is above the door, then Ivan's cousin is a girl. - If the book was for sale online, then Ivan's cousin is a girl. - If Ivan's cousin is a girl, then the book was for sale online. (b) Given: If Jim likes the milk shake, then the play is a success. Jim likes the milk shake. Which statement must also be true? - The play is a success. - The play is not a success. - Jim does not like the milk shake. (c) Given: If Juan sleeps on the floor, then the bike is fast. Which statement must also be true? - If the bike is not fast, then Juan does not sleep on the floor. - If Juan does not sleep on the floor, then the bike is not fast. - If the bike is fast, then Juan sleeps on the floor.
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 Ivan's cousin is a girl, then the window is above the door.
If the window is above the door, then the book was for sale online.
Which statement must also be true?
- If the window is above the door, then Ivan's cousin is a girl.
- If the book was for sale online, then Ivan's cousin is a girl.
- If Ivan's cousin is a girl, then the book was for sale online.
(b) Given: If Jim likes the milk shake, then the play is a success.
Jim likes the milk shake.
Which statement must also be true?
- The play is a success.
- The play is not a success.
- Jim does not like the milk shake.
(c) Given: If Juan sleeps on the floor, then the bike is fast.
Which statement must also be true?
- If the bike is not fast, then Juan does not sleep on the floor.
- If Juan does not sleep on the floor, then the bike is not fast.
- If the bike is fast, then Juan sleeps on the floor.
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