GO Classes 2023 | IIITH Mock Test 1 | Question: 65

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

1. $\mid a+b \mid\leq \mid a \mid+\mid b \mid$
2. $\mid a – b \mid \leq \mid a \mid  + \mid b\mid$
3. $\mid a-b \mid \leq  \mid a \mid -\mid b \mid$
4. $\mid a-c \mid \leq \mid a-b \mid+\mid b-c \mid$