Question

(2x-7)(3x+5)>(x+9)(6x-13)

Answer 1

$(2x - 7)(3x + 5) > (x + 9)(6x - 13) \\ \\ (2x - 7)(3x + 5) - (x + 9)(6x - 13) > 0 \\ \\ (6 {x}^{2} + 10x - 21x - 35) - (6 {x}^{2} - 13x + 54x - 117) > 0 \\ \\ 6 {x}^{2} - 11x - 35 - 6 {x}^{2} - 41x + 117 > 0 \\ \\ - 52x + 82 > 0 \\ \\ - 52x > 0 - 82 \\ \\ - 52x > - 82 \\ \\ 52x < - ( - 82) \\ \\ x < 82 :52 \\ \\ x < \frac{41}{26}$