Given the numbers x = a and y = - b, which statement is true? A. - |x| = a and - |y| = b B. |-x| = - a and |-y| = b C. |x| = - a and - |y| = - b D. |x| = a and |y| = b

D) |x| = a and |y| = b

Step-by-step explanation:

Given the numbers x = a and y = - b

Absolute function always gives the output as a positive number

Absolute function of |-x| = x

For example |5| = 5 and |-5| = 5

Given x=a

|x| = |a| = a, so |x| = a

Given y=-b

|y| = |-b| = b, so |y| = b

Hence, |x| = a and |y| = b