# Find absolute inequality

This is a problem from my homework where a sample of a quantity is 37.5±1.2 grams. And if the actual quantity is x, write the results as an absolute value inequality and solve for x. Which I think I know is 36.3≤x≤38.7. So all I am asking for is this absolute value inequality (equation?) and maybe the logic for finding it.

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Probably you want $|x-x_0|\leq\delta$, where $x_0$ is the center of the interval and $\delta$ the half-width.