Question

The converse of the statement "If $x+2=6,$ then $x=4$" is

• A. If $x\ne 4,$ then $x+2=6$
• B. If $x\ne 4,$ then $x+2\ne 6$
• C. If $x+2\ne 6,$ then $x\ne 4$
• D. If $x=4,$ then $x+2=6$

Answer 1

The correct option is D If $x=4,$ then $x+2=6$

Let, $p:x+2=6,q:x=4$

Converse of $p\to q$ is $q\to p.$

Hence, converse of the given statement is:
If $x=4,$ then $x+2=6$