Maths-
General
Easy
Question
Use p and q to write the symbolic statement in words.
p: Roses are red.
q: Roses are beautiful.
I) p → q
II) ~q
III) ~q → ~p
The correct answer is: p → q : If Roses are red, then the roses are beautiful ~q: Roses are not beautiful ~q → ~p: If Roses are not red, then the roses are not beautiful.
Hint:
p → q represents the conditional statement which means “if p then q” or “p implies q”
“ ~ ” symbol represents the inverse of a statement and inverse of a conditional statement like p → q is given as ~p → ~q which means if not p then not q
Solution
It is given
p: Roses are red.
q: Roses are beautiful.
Symbolic statement of p → q is “ If Roses are red, then the roses are beautiful. ”
Symbolic statement of ~q is “ Roses are not beautiful ”
Symbolic statement of ~q → ~p is “ If Roses are not red, then the roses are not beautiful. ”
Final Answer:
p → q : If Roses are red, then the roses are beautiful
~q: Roses are not beautiful
~q → ~p: If Roses are not red, then the roses are not beautiful.
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