Answer:
Sometimes true.
Step-by-step explanation:
The statement is sometimes true and sometimes false depending on the values of x and y.
Here's an example that shows it to be true.
|x+y|=|x|+|y|
Let x = 5 and y = 6.
|x+y|=5 + 6 = 11
|x|+|y| = |5| + +|6| = 5 + 6 = 11
In this case, both sides equal 11, and the expression is true.
Here's an example that shows it to be false.
|x+y|=|x|+|y|
Let x = -5 and y = 5.
|x+y|= |-5 + 5| = |0| = 0
|x|+|y| = |-5| + |5| = 5 + 5 = 10
The left side equals 0, and the right side equals 10. The sides are different, and the expression is false.
