Vista High school

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solve the following inequality. write your solutionin interval notation x^3-x<0

  • Vista High school -

    x(x-1)(x+1) < 0

    The roots are -1,0,1

    Since there are no repeated roots, the graph crosses the axis at each root.

    So, y<0 for large x<0, so the intervals are

    (oo,-1) < 0
    (-1,0) > 0
    (0,1) < 0
    (1,oo) > 0

    y<0 for x in (-oo,-1)U(0,1)

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