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What values of a and b make this statement false? |a-b|=|a|-|b|

 Aug 26, 2020
 #1
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If: The signs are different.

 

This is because it can't remain constant. One will be addition, while the other subtraction, or they are both subtraction, but from different values.

 

Let's test it out. 
 

Positive: 

a = 2

b = 3

|2 - 3| = 1

|2| - |3| = 1

 

Negative:
a = -2

b = -3

|-2 + 3| = 1

|-2| - |-3| = 1

 

One positive, one negative:

a = 2

b = -3

|2 + 3| = 5

|2| - |-3| = -1

(same vice versa)

 

:)

 Aug 26, 2020

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