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Let $C = A + B$

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$| C |$ is always greater than $| A |$

It is possible to have |C|<|A| and |C|<|B|

C is always equal to A+B

C is never equal to A+B

answer is B.

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Detailed Solution

$| C | = | A + B | \leq | A | + | B |$

Hence it can be said that

Thus, the statement $| C | < | A |$ and $| C | < | B |$ is correct.

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