Question

The converse of the statement "If $x>y$, then $x+a>y+a$ " is

• A. If $x>y$, then $x+a<y+a$.
• B. If $x+a>y+a$, then $x>y$.
• C. If $x<y$, then $x+a>y+a$.
• D. If $x<y$, then $x+a<y+a$.

Answer 1

The correct option is B If $x+a>y+a$, then $x>y$.

Given statement "If $x>y$, then $x+a>y+a$"

Let p: $x>y$

q: $x+a>y+a$

Given statement is $p\to q$

$\therefore$ The converse of the given statement $p\to q$ is $q\to p$

If $x+a>y+a$, then $x>y$.

$\therefore$ Option (B) is correct.