Question

If x=-1/3 and Y=-2/5,prove that: (i)|x+y|= |x| + |y|​

Answer 1

Answer:

Given that : If $x=-1/3$ and $y=-2/5$ , prove that : (i) $|x+y| = |x| + |y|$

Required : prove that |x+y| = |x| + |y|

Step-by-step explanation:

If $x=-1/3$ and $y=-2/5$

$(x+y) = (-1/3)+(-2/5)$

           = $-11/15$

$|x+y| = |-11/15|$

          = $11/15$

$|x| = |-1/3|$

    = $1/3$

and $|y| = |-2/5|$

           = $2/5$

$|x| + |y| = 1/3 +2/5$

            = $11/15$

So here we see that ,

$|x+y| = |x| +|y|$

Final Answer : The required final answer is $|x+y| = |x| +|y|$