Mathematics

# Give an example for the following axioms from your experience:(b) the whole is greater than the part.

##### SOLUTION
(a) It is logically true, as addition of equals will become equals. Hence it is an Axiom
For example: $2+3=4+1$ and $1+5=4+2$
Then addition of these two equality will give
$2+3+1+5=4+1+4+2\Rightarrow 11=11$
(b) This is illogical or not true, the whole may or may not be greater than its part always.
For example: $x+a>x$ is not always true
When $a$ is zero or less than zero, then this won't be true.
Hence it is a postulate.

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Subjective Medium Published on 09th 09, 2020
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