Option C
|-15| > |12| is true from given five inequalities.
Solution:
Need to determine which of the given inequality is true from given five options.
Let's first understand what is mode of any real number "x", that is |x| means.
|x| = |-x| = absolute value of "x" ignoring its sign = "x"
Let’s check each option
A. |-15| > |-19|
|-15| = 15 and |-19| = 19
As 15 cannot be greater than 19.
Hence inequality |-15| > |-19| is not true.
B. |-16| < |13|
|-16| = 16 and |13| = 13
As 16 cannot be less than 13.
Hence inequality |-16| < |13| is not true.
C. |-15| > |12|
|-16| = 15 and |12| = 12
As 15 is greater than 12
Hence inequality |-15| > |12| is true.
D. |12| < |-8|
|12| = 12 and |-8| = 8
As 12 cannot be less than 8.
Hence inequality 12| < |-8| is not true.
E. |-19| > |-20|
|-19| = 19 and |-20| = 20
As 19 cannot be greater than 20.
Hence inequality |-19| > |-20| is not true.
So we can conclude that only one inequality that is Option C, |-15| > |12| is true from given five inequalities.