Solve the inequality. Round your answer to the nearest tenth.

x2 + 5⋅x - 7 > 5

x^2 + 5x - 12 >0

consider x^2 + 5x - 12 = 0
x = (-5 ± √73)/2
x = appr 1.8 or x = appr -6.8

knowing about the shape of the corresponding quadratic function (a parabola opening upwards)
we want the value above the x - axis

x < -6.8 OR x > 1.8