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If p ↔ q and p → q both are true, then find truth values of the following with the help of activity p ˅ q p ↔ q and p → q both are true if p and q has truth value □, □ or □, □. p ˅ q i. - Mathematics and Statistics

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Question

If p ↔ q and p → q both are true, then find truth values of the following with the help of activity

p ˅ q

p ↔ q and p → q both are true if p and q has truth value `square`, `square` or `square`, `square`.

p ˅ q

i. If both p and q are true, then p ˅ q = `square` ˅ `square` = `square`

ii. If both p and q are false, then p ˅ q = `square` ˅ `square` = `square`

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Solution

p ↔ q and p → q both are true if p and q has truth value T, T or F, F.

p ˅ q

i. If both p and q are true, then p ˅ q = T ˅ T = T

ii. If both p and q are false, then p ˅ q = F ˅ F = F

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Chapter 1.1: Mathematical Logic - Q.5
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