Question

Every whole number has a predecessor.

• A. True
• B. False

Answer 1

The correct option is B False

A predecessor is a number that precedes another number. So, if $a$ is a number than its predecessor is $a-1$.

The whole numbers are a set of numbers that contains $0$ and all the natural numbers.

$W=\{0,1,2,......\}$

So, $1$ is a whole number which is a predecessor of $2$ as $(2-1=1)$.

Similarly, $0$ is a whole number which is a predecessor of $1$ as $(1-1=0)$.

Likewise, the predecessor of $0$ is $-1$ as $(0-1=-1)$. But $-1$ does not belong to the set of whole numbers.

That means, in the set of whole numbers, $0$ is a number that has no predecessor.

Hence, the given statement is false.