Let the following statements be given.p= "You can vote."q = "You are under 18 years old."r = "You are from Mars."(a) Translate the following statement into symbols of formal logic.You can't vote if you are under 18 years old or you are from Mars.O (q vr) → pO¬p → (q^r)O (q^r) → pO (qvr) → pO¬p → (qVr)(b) Give the contrapositive of this statement in the symbols of formal logic.Op(q^r)O¬¬p → ¬(q V r)O¬p → ¬(q Vr)(q V r) →O(g ^r) →pp(c) Give the contrapositive in English.O If you are under 18, then you can't vote nor are you from Mars.O If you are not under 18 nor are you from Mars, then you can't vote.O If you can't vote, then you are not under 18 nor are you from Mars.O If you can vote, then you are not under 18 nor are you from Mars.O If you are not under 18 nor are you from Mars, then you can vote.

Let the following statements be given. p= "You can vote." q= "You are under 18 years old." r = "You are from Mars." (a) Translate the following statement into symbols of formal logic. You can't vote if you are under 18 years old or you are from Mars. O (qvr) → p Op → (q^r) O(q^r) → p O (qvr) → p O-p → (q Vr) (b) Give the contrapositive of this statement in the symbols of formal logic. Op → ¬(q^r) O¬¬p → ¬(q Vr) O¬p → ¬(q vr) O-(q vr) →→P O(q^r) →→P (c) Give the contrapositive in English. O If you are under 18, then you can't vote nor are you from Mars. O If you are not under 18 nor are you from Mars, then you can't vote. O If you can't vote, then you are not under 18 nor are you from Mars. O If you can vote, then you are not under 18 nor are you from Mars. O If you are not under 18 nor are you from Mars, then you can vote.

Let the following statements be given. p= "You can vote." q= "You are under 18 years old." r = "You are from Mars." (a) Translate the following statement into symbols of formal logic. You can't vote if you are under 18 years old or you are from Mars. O (qvr) → p Op → (q^r) O(q^r) → p O (qvr) → p O-p → (q Vr) (b) Give the contrapositive of this statement in the symbols of formal logic. Op → ¬(q^r) O¬¬p → ¬(q Vr) O¬p → ¬(q vr) O-(q vr) →→P O(q^r) →→P (c) Give the contrapositive in English. O If you are under 18, then you can't vote nor are you from Mars. O If you are not under 18 nor are you from Mars, then you can't vote. O If you can't vote, then you are not under 18 nor are you from Mars. O If you can vote, then you are not under 18 nor are you from Mars. O If you are not under 18 nor are you from Mars, then you can vote.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Let the following statements be given.
p= "You can vote."
q = "You are under 18 years old."
r = "You are from Mars."
(a) Translate the following statement into symbols of formal logic.
You can't vote if you are under 18 years old or you are from Mars.
O (q vr) → p
O¬p → (q^r)
O (q^r) → p
O (qvr) → p
O¬p → (qVr)
(b) Give the contrapositive of this statement in the symbols of formal logic.
Op
(q^r)
O¬¬p → ¬(q V r)
O¬p → ¬(q Vr)
(q V r) →
O(g ^r) →
p
p
(c) Give the contrapositive in English.
O If you are under 18, then you can't vote nor are you from Mars.
O If you are not under 18 nor are you from Mars, then you can't vote.
O If you can't vote, then you are not under 18 nor are you from Mars.
O If you can vote, then you are not under 18 nor are you from Mars.
O If you are not under 18 nor are you from Mars, then you can vote.

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