Question

If $p:$ Every square is a rectangle
$q:$ Every rhombus is a kite then truth value of $p\to q$ and $p\leftrightarrow q$ are ______ and _______ respectively.

• A. F, F
• B. T, F
• C. F, T
• D. T, T

Answer 1

Answer: (D)

T, T

p: every square is a rectangle $\Rightarrow$ TRUE

q: every rhombus is a kite $\Rightarrow$ TRUE

$p\to q=\overline{p}+q$

It means if p, then q

$\therefore$ If every square is a rectangle, then every rhombus is a kite

$\Rightarrow$ TRUE

$p\leftrightarrow q$

It means p if and only if q

$\therefore$ If every square is a rectangle, then every rhombus is a kite and vice versa

$\therefore$ TRUE