Question

What are the two conditionals that form the statement below? Two numbers are reciprocals if and only if the product is one

Answer 1

Yes Lets verify the statement .

• Take a number x

$\\ \sf\longmapsto Reciprocal=\dfrac{1}{x}$

Find product

$\\ \sf\longmapsto \dfrac{1}{x}\times x$

$\\ \sf\longmapsto 1$

• Hence verified

Answer 2

The two conditional are:
1. Two numbers are reciprocals, if their product is one.
2. Two numbers are reciprocals only if their product is one.

But that #2 is another way to say
2. If two numbers are reciprocals, then their product is one.

This is how “if and only if” statements work, that knowing one side of the statement is true guarantees you know the other side is too and it has to work both ways.