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12 March, 13:40

suppose that y=5x+1 and we want y to be within 0.04 unit of 9. for what values of x will this be true?

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  1. 12 March, 14:05
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    1.592 < x < 1.608

    So x must be between 1.592 and 1.608

    Step-by-step explanation:

    y=5x+1

    Since we know that y must be within. 04 of 9, we know the highest y value will be 9 +.04 = 9.04, and the lowest y value will be 9 -.04 = 8.96

    We can write this as an inequality like such:

    8.96 < y < 9.04

    So we need to find where y is greater than 8.96, and less than 9.04

    To do this we need to solve both equations for x

    9.04 = 5x + 1

    8.04 = 5x

    8.04/5 = x

    1.608 = x

    So we know when x = 1.608 then y = 9.04

    Now lets solve for the smaller y value

    8.96 = 5x + 1

    7.96 = 5x

    7.96/5 = x

    1.592 = x

    So we know when x = 1.592 then y = 8.96

    So y will be between 9.04 and 8.96 from 1.592 to 1.608

    The range must be between:

    1.592 < x < 1.608
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