Question

Verify | x + y | < or = | x | + | y | by taking x=2/3, y= -3/5​

Answer 1

|2/3+(-3/5)|=|2/3-3/5|=|(10-9)/15|=1/15

|2/3|+|-3/5|=2/3+3/5=(10+9)/15=19/15

|x+y|is smaller than |x|+|y|

Answer 2

Step-by-step explanation:

rhs=absolute value of x+y

|2/3+(-3)/5|

2/3+3/5

10/15+9/15

19/15

lhs=absolute value of x +absolute value of y

|2/3|+|-3/5|

2/3+3/5

10/15+9/15

19/15.

rhs= lhs verified