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2 June, 23:11

Solve the inequality. express your answer in interval form. (if there is no solution, enter no solution.) x > x8

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  1. 2 June, 23:26
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    x> x⁸

    If we just flip the inequality, then x⁸ < x

    x⁸ < x

    ⇒ x⁸ - x < 0

    ⇒ x (x⁷ - 1) < 0

    ⇒ x (x-1) (x⁶+x⁵+x⁴+x³+x²+x+1) < 0

    So, x> 0 or x< 1

    we can also write it after combining as 0 < x< 1

    The interval notation will be: (0,1) [ as there is no 'equal' with inequality sign, that's why we need to use parenthesis ]
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