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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