Question

Read the following statement: All real numbers have a reciprocal. Which of the following choices is a counterexample to the statement?

1/4
0
1
-7

Answer 1

0 as its reciprocal is 0.

Answer 2

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

All real numbers have a reciprocal.

But we know that 0 has no inverse, means there is no reciprocal exists for 0.

Because,

$\dfrac{1}{0}=\infty$

So, 0 is a counter example to the statement.

Hence, Second option is correct.