Question

For every rational number $x$, $x+1=x$.

State whether the statement is true or false.

• A. True
• B. False

Answer 1

The correct option is B False

Explain with an example:

It is given that every rational number $x$,

$x+1=x$

Now, let us take any rational number, say $x=4$.

Then, $4+1\stackrel{?}{=}4$

$\Rightarrow$ $5\ne 4$

$\Rightarrow$ $\mathrm{LHS}\ne \mathrm{RHS}$

Therefore, $x+1\ne x$ for a rational number.

Hence, the given statement is false.