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In a chemical process between 77g and 85g of carbon is added to a mixture let c be the amount of carbon write an absolute value inequality describing the amount of carbon added

User Seancarlos
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1 Answer

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Absolute value inequality is given as
| C-A| <B ... (1)

Opening the absolute sign, we get


C-A < B or
C-A >B

Combining the inequalities we get -


-B < C-A < B

Add, A on both sides.


A-B < C < A+B

It is given that, C is between 77 gm and 85 gm

Hence ,
A-B = 77 ... (2)


A+B = 85.... (3)

solving equation (2) and (3)

A = 81 and B = 4

Plug the values of A and B in equation 1.

Absolute value equation is
|C-81|<4


User Cocoafan
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