Question

Assuming no variable equals 1 or 0, which of the following statements is always False?

Answer 1

Given:

No variable equals 1 or 0.

To find:

The statements which is always False.

Solution:

According to identity of multiplication,

$1(x)=x$

For x=2,

$1(2)=2\neq 1$

So, the statement $1(x)=1$ always false because no variable equals 1 or 0.

Multiplication property of zero,

$0(x)=0$

Commutative property of addition,

$x+y=y+x$

Distributive property of multiplication over addition,

$a(b+c)=ab+ac$

No variable equals 1 or 0. So, all the statements in options B, C, D are always true.

Therefore, the correct option is A.