Question

Given following statements
p: 9 × 5 = 45
q: Pune is in Maharashtra
r: 3 is the smallest prime number

Write truth values by activity

i) (p ˄ q) ˄ r = `(square` ˄ `square)` ˄ `square` = `square` ˄ `square` = `square` ii) ~ ( p ˄ r ) = `~(square` ˄ `square)` = `~ square` = `square` iii) p → q = `square → square` = `square`

Answer 1

i) (p ˄ q) ˄ r = (T ˄ T) ˄ F = T ˄ F = F ii) ~ ( p ˄ r ) = ~(T ˄ F) = ~ F = T iii) p → q = T → T = T