Which inequality is true?

a. |-15| > |-19|
b. |-16| < |13|
c. |-15| > |12|
d. |12| < |-8|
e. |-19| > |-20|

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.

its 4 because 2 times 2 is 4, if you double the number two you get four