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 = (□) ˄ □) ˄ □ = □ ˄ □ = □ ii) ~ ( p ˄ r ) = ~ - Mathematics and Statistics

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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`

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Solution

i) (p ˄ q) ˄ r = (T ˄ T) ˄ F

= T ˄ F

= F

ii) ~ ( p ˄ r ) = ~(T ˄ F)

= ~ F

= T

iii) p → q = TT

= T

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

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