Solution to 2. a) Consider the propositions ‘2+3 = 5’ and ’The Sun rises in the West’. … - Sikademy
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Archangel Macsika

2. a) Consider the propositions ‘2+3 = 5’ and ’The Sun rises in the West’. i) Write the disjunction of the statements and give its truth value. ii) Write the conjunction of the statements and give its truth value. iii) Write the exclusive disjunction of the statements and give its truth value.

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i) Let A= ‘2+3 = 5’ and B=’The Sun rises in the West’. Then the disjunction of the statements

is A \vee B . SinceA = true and B = false then A \vee B=true \vee false=true

Answer: true

ii) The conjunction of the statements is A \wedge B . SinceA = true and B = false then A \wedge B=true \wedge false=false

Answer: false

iii) The exclusive disjunction is A \oplus B . SinceA = true and B = false then A \oplus B=true \oplus false=true

Answer: true

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Question ID: mtid-5-stid-8-sqid-3273-qpid-1972