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HELP ASAP!!! Find a counterexample to disprove the conjecture. Conjecture |x - y| = |x| - |y|

Sagot :

mbaratiz

Answer:

Step-by-step explanation:

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An absolute value of |x| {modulus of x} is the value of a real number x. The given equation is not true.

What is absolute Value?

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

A hypothesis is a speculative conclusion or assertion that is made without proof. Now, to prove that the given equation is not true substitute the value of both the variables as -1. Therefore,

x = y = -1

Substitute the value on the left side of the equation,

|x - y|

= |-1 - (-1)|

= |-1 + 1|

= |0|

= 0

Substitute the value on the right side of the equation,

|x| - |y|

= |-1| - |-1|

= 1 + 1  

= 2

Since the left and the right side of the equation is not satisfied, therefore, it can be concluded that the given equation is not true.

Learn more about Absolute value here:

https://brainly.com/question/1301718

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