Absolute value inequality is given as [tex]| C-A| <B[/tex] ... (1)
Opening the absolute sign, we get
[tex]C-A < B[/tex] or [tex]C-A >B[/tex]
Combining the inequalities we get -
[tex]-B < C-A < B[/tex]
Add, A on both sides.
[tex]A-B < C < A+B[/tex]
It is given that, C is between 77 gm and 85 gm
Hence , [tex]A-B = 77[/tex] ... (2)
[tex]A+B = 85[/tex].... (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 [tex]|C-81|<4[/tex]
