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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

1 Answer

10 votes

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.

User Antoyo
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