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2 sin^2 x + 3 sin x - 2 > 0 and x^2 - x - 2 < 0: interval of x

The same question, asked 2 times: 3 May 2023 S1, 9 May 2023 S2. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S1

    129
    Let 2sin⁡2x+3sin⁡x−2>02\sin^2 x+3\sin x-2>0 and x2−x−2<0x^2-x-2<0. (x is measured in radians). Then x lies in the interval

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  2. Question 2

    9 May 2023 S2

    107
    Let 2sin⁡2x+3sin⁡x−2>02\sin^2 x + 3\sin x - 2 > 0 and x2−x−2<0x^2 - x - 2 < 0 (x is measured in radians). Then x lies in the interval

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