Absolute value Inequality

[greatwhiteshark]

Forensic scientists use the equation
h = 2.6f + 47.2 to estimate the height, h, of a woman given the length in centimeters, f, of her femur bone. Suppose the equation has a margin of error of + 4 centimeters and the length of a female skeleton's femur is 48 centimeters. Write and solve an absolute value inequality that describes the woman's height in centimeters.

 

[pka]

I assume that the question means ‘a margin of error of <U>+</U>4’.
That is plus-minus 4. And h(f)=2.6f+47.2.
If H is her actual height then, we are looking for |H−h(48)|<4.
Or, |H−[(2.6)(48)+47.2]|<4; solve this for H.

 

[greatwhiteshark]

ok

Great steps to follow.