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Math Help - Absolute Value Inequality

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    Absolute Value Inequality

    A tool and die shop makes a metal pull tab for a pop can. The length of the tab is 1.2 inches. The measurement may have an error of as much as 0.002 inches. Write an absolute value inequality that shows the range of the possible lengths of the tabs. Solve the inequality.
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    Quote Originally Posted by magentarita View Post
    A tool and die shop makes a metal pull tab for a pop can. The length of the tab is 1.2 inches. The measurement may have an error of as much as 0.002 inches. Write an absolute value inequality that shows the range of the possible lengths of the tabs. Solve the inequality.
    Since |x- 1.2| measures how much x differs from 1.2, that is just |x- 1.2|\le 0.002. That, of course, is the same as [tex]-0.002\le x- 1.2\le 0.002[tex] so 1.2- 0.002\le x\le 1.2+ 0.002 or 1.198\le x\le 1.202.
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    wow...

    Quote Originally Posted by HallsofIvy View Post
    Since |x- 1.2| measures how much x differs from 1.2, that is just |x- 1.2|\le 0.002. That, of course, is the same as [tex]-0.002\le x- 1.2\le 0.002[tex] so 1.2- 0.002\le x\le 1.2+ 0.002 or 1.198\le x\le 1.202.
    I would have never been able to come up with the answer.

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