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प्रश्न
If p ↔ q and p → q both are true, then find truth values of the following with the help of activity
p ˅ q
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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` |
उत्तर
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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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i) (p ˄ q) ˄ r = `(square` ˄ `square)` ˄ `square` = `square` ˄ `square` = `square` ii) ~ ( p ˄ r ) = `~(square` ˄ `square)` = `~ square` = `square` iii) p → q = `square → square` = `square` |
