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Question

For every rational numbers x,y and z, x+y×z=x+y×x+z.

State whether the statement is true or false.


A
True
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B
False
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Solution

The correct option is B False

Distributive property of multiplication:

According to the distributive property of multiplication over addition,

a×b+c=a×b+a×c

So, a+b×ca×b+a×c

x+y×z=x+y×x+z

Hence, the given statement is false.


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