Given the numbers c = –3 and d = 4, which statement is true?
a. |–c| = 3 and –|d| = 4
b. –|c| = –4 and –|d| = 3
c. |–c| = 3 and –|d| = –4
d. |–c| = 3 and |–d| = –4

C. |–c| = 3 and –|d| = –4.

In mathematics, the absolute value or modulus of a real number is its numerical value without taking into account its sign, be it positive (+) or negative (-). Thus, for example, 3 is the absolute value of +3 and -3.

With c = -3 and d = 4

|–c| =  |–(-3)| =  |3| = 3

-|d| = -|4| = -4