Question

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

ОООО
1(x) = 1
0(x) = 0
x + y = y + x
a(b + c) = ab + ac

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\\eq 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.