Question

Which of the following is false X+y=y+x
X.y=y.x
X.x’=1

Answer 1

Answer:

X.x'=1 is the false because ist wala hai x+y ho ya y+x baat tho ek hi hai as 2+1ho ya 1+2 similarly second wala bhi sahi hai

Answer 2

The expression x.x’=1 is false

Explanation

• We have to pick up the false statement from the given 3 statements.

• Let's start with x+y=y+x, it is simple commutative law.

• As we know addition follows the commutative property, so this statement is true.

• The second statement is x.y=y.x which is again commutative law.

• As we know that multiplication follows the commutative law, so this statement is also true.

• Hence the only remaining statement is x.x’=1 which should be false.

As it is identity property but it doesn't stand for all values of x, it is a false statement.