Suppose that the given statements are true. Find the other true statements. (a) Given: If the play is a success, then Charlie likes the milk shake. Which statement must also be true? - If Charlie does not like the milk shake, then the play is not a success. - If the play is not a success, then Charlie does not like the milk shake. - If Charlie likes the milk shake, then the play is a success. (b) Given: If the window is above the door, then Diane's cousin is a girl, The window is above the door. Which statement must also be true? - The window is not above the door. - Diane's cousin is not a girl. - Diane's cousin is a girl. (c) Given: If I liked the poem, then Juan prefers black to red. If Juan prefers black to red, then the passports are missing. Which statement must also be true? - If the passports are missing, then Juan prefers black to red. - If I liked the poem, then the passports are missing. - If Juan prefers black to red. then I liked the poem.
Suppose that the given statements are true. Find the other true statements. (a) Given: If the play is a success, then Charlie likes the milk shake. Which statement must also be true? - If Charlie does not like the milk shake, then the play is not a success. - If the play is not a success, then Charlie does not like the milk shake. - If Charlie likes the milk shake, then the play is a success. (b) Given: If the window is above the door, then Diane's cousin is a girl, The window is above the door. Which statement must also be true? - The window is not above the door. - Diane's cousin is not a girl. - Diane's cousin is a girl. (c) Given: If I liked the poem, then Juan prefers black to red. If Juan prefers black to red, then the passports are missing. Which statement must also be true? - If the passports are missing, then Juan prefers black to red. - If I liked the poem, then the passports are missing. - If Juan prefers black to red. then I liked the poem.
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 play is a success, then Charlie likes the milk shake.
Which statement must also be true?
- If Charlie does not like the milk shake, then the play is not a success.
- If the play is not a success, then Charlie does not like the milk shake.
- If Charlie likes the milk shake, then the play is a success.
(b) Given: If the window is above the door, then Diane's cousin is a girl,
The window is above the door.
Which statement must also be true?
- The window is not above the door.
- Diane's cousin is not a girl.
- Diane's cousin is a girl.
(c) Given: If I liked the poem, then Juan prefers black to red.
If Juan prefers black to red, then the passports are missing.
Which statement must also be true?
- If the passports are missing, then Juan prefers black to red.
- If I liked the poem, then the passports are missing.
- If Juan prefers black to red. then I liked the poem.
Transcribed Image Text:Suppose that the given statements are true.
Find the other true statements.
(a) Given: If the play is a success, then Charlie likes the milk shake.
Which statement must also be true?
(choose one)
(b) Given: If the window is above the door, then Diane's cousin is a girl.
The window is above the door.
Which statement must also be true?
(choose one)
(c) Given:
If I liked the poem, then Juan prefers black to red.
If Juan prefers black to red, then the passports are missing.
Which statement must also be true?
(choose one)
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