Question

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

Answer 1

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

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