Question

verify |x+y| < |x| + |y|... if
x=-4/5,Y=2/5​

Answer 1

Answer:

x = - 4/5 and y = 2/5

|x + y| = |- 4/5 + 2/5|

=> |(- 4 + 2)/5|

=> |-2/5|

=> 2/5 LHS

=> |x| + |y|

=> |-4/5| + |2/5|

=> 4/5 + 2/5

=> 7/5 RHS

2/5 < 7/5

LHS < RHS

|x + y| < |x| + |y| Hence proved