Question

RESOLVA A INEQUAÇÃO (x+5)²-(x+2)²>-(2x-1) + -x+2
                                                               4            2

Answer 1

$(x+5)^2-(x+2)^2>\frac{-(2x-1)}{4}+\frac{-x+2}{2} \\ \\ x^2+10x+25-x^2-4x-4>\frac{-2x+1}{4}+\frac{-x+2}{2} \\ \\ 4x^2+40x+100-4x^2-16x-16>-2x+1-2x+4 \\ \\ 4x^2+40x+100-4x^2-16x-16+2x-1+2x-4>0 \\ 28x+79>0 \\ \\ 28x>-79 \\ \\ \boxed{x>-\frac{79}{28}}$