(2x+1)^{2 }< 9(x-2)^{2}4x^{2}+4x+1 < 9(x^{2}-4x+4)4x^{2}+4x+1 < 9x^{2}-36x+360 < 5x^{2}-40x+35Apply quadratic equation solving formula (40+30)/10=7 and (40-30)/10=1hence x<1 and x>7

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