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 □, - Mathematics and Statistics

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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 `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

  Is there an error in this question or solution?
Chapter 1.1: Mathematical Logic - Q.5

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