Question

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

Answer 1

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`