Question

If $x$ is an even number, then the next even number is $2(x+1)$. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

Verify the given statement

If $x$ is an even number, then the next even number will be $(x+2)$.

For example, $6$ is an even number then the next even number is $6+2=6+2=8$.

According to the statement, if the next even number is $2(x+1)$, then the next even number after $6$ will be :

$$\begin{gathered} =2(6+1) \\ =2\left(7\right) \\ =14 \end{gathered}$$

But, $14$ is not the next even number after $6$.

So, If $x$ is an even number, then the next even number will be $(x+2)$ and not $2(x+1)$.

Hence, the given statement is false.