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. 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?(choose one)(b) Given:v (choose one)Ine floor.Which staIf Austin's cousin is a girl,then the window is abovethe door.(c) Given:Ies are old.If Austin's cousin is not agirl, then the window isIe is being shown.Which stanot above the door.If the window is not abovethe door, then Austin'scousin is not a girl. 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?(choose one)(b) Given:If the bike is fast, then Rachel sleeps on the floor.The bike is fast.Which statement must also be true?(choose one)(c) Given:v (choose one)Ies are old.Ie is being shown.Which staThe bike is not fast.Rachel sleeps on the floor.Rachel does not sleep onthe floor.

In this question, the statement is given. The true statement is to be determined with the help of…

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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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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.