Question

Verify |x+y|< |×|+|y| for x=-1/5, y=3/25​

Answer 1

Step-by-step explanation:

|x + y | = | -1/5 + 3/25|

= |( -5+3)/25|

= |-2/25|

= 2/25

|x| + |y| = |-1/5| + |3/25|

= 1/5 + 3/25

= 5+3/25

= 8/25

3/25 < 8/25

so,

|x + y | < |x| + |y|

Answer 2

Answer:

x=1/5, y=3/25

LHS

|1/5+3/25|

=| 5+3/25|

=|8/25|

=8/25

RHS

|1/5|+|3/25|

=1/5+3/25

= 5+3/25

=8/25

SO LHS = RHS