If a, b and c are three real numbers, then which of the following is NOT true?

| a + b | \leq | a | + | b |

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| a - b | \leq | a | + | b |

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| a - b | \leq | a | - | b |

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| a - c | \leq | a - b | + | b - c |

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Solution

The correct option is C $| a - b | \leq | a | - | b |$
This can be checked by taking arbitary values of a and b in the given terms. Taking a = 5 and b = -2, we conclude that (c) is not true.

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