Question

If |x| = 7 and |y| = 13, then which of the following could be equal to x + y?

Answer 1

Answer shown from explanation

Explanation:

|x| means modulus of x such that positive or negative value of x evaluates to a positive value.

|x| = 7 is the same as x = -7 and x = 7

Similarly,

|y| = 13 is the same as y = -13 and y= 13;

Hence the possible values are;

7+13= 20

7-13= -6

-7-13= -20

-7 + 13 = 6

Answer 2

20, -20, -6, 6

Explanation:

x and y could be negative or positive.