Answer to Question #190281 in Discrete Mathematics for J.Sureshkumar

Question

Let p: priya is tall and q:priya is beautiful write the following statement in symbolic form.

i) Priya is tall and beautiful

ii) Priya is tall but beautiful

iii) It is false that priya is short or beautiful

Answer 1

Given,

p = Priya is tall

q = Priya is beautiful

(i) Priya is tall and beautiful

p and q $:\ p\land q$

(ii) Priya is tall but beautiful

p but q $:\ p\land q$

Priya is tall but not beautiful

p but not q $: p\land \lnot q$

(iii) It is false that Priya is short or beautiful

$\lnot(p\lor q)=\lnot p\land\lnot q$ [D' Morgans Law]