Question

Write the converse of the following true conditional statement. If the converse is false, write a counter example. If x>9, then x>0

Answer 1

Converse:

If x > 0 , then x > 9 is the converse of If x > 9 , then x > 0.

Explanation:

Given;

If x > 9 , then x > 0.

It is a true conditional statement,

let p : x > 9( x is greater than nine) ,

q : x > 0( x is greater than zero).

then the conditional statement is written in the logic form as

p → q which is true for x

Now the converse of p → q is given by

q → p

In statement,if q then p,

i.e If x > 0 , then x > 9 which is also true for x