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JEE-Level Application Problems

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  1. 1.

    If |x-1| + |x-2| + |x-3| <= 6, then x belongs to:

  2. 2.

    (corrected).** If |x-1| + |x-2| + |x-3| <= 6, then x belongs to:

  3. 3.

    The set of real values of a for which x^2 - (a+1)x + a + 1 > 0 for all x is:

  4. 4.

    Find all x such that (x^2-x-2)/(x^2+x-2) > 0:

  5. 5.

    The number of real solutions of x^2 + 3|x| + 2 = 0:

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