Question

resolva as inequaçoes a seguir.
a) x2 - 3x + 2 < 0
b) -x2 + 9 > 0
c) x2 + 5x > 6

Answer 1

Resposta:

$a \\ (x - 2)(x - 1) < 0 \\ \\ x = 2.1 \\ \\ x < 1 \\ 1 < x < 2 \\ x > 2 \\ \\ 1 < x < 2 \\ \\ b \\ 9 - {x}^{2} > 0 \\ - {x}^{2} > - 9 \\ {x}^{2} < 9 \\ \\ x < - 3 \\ - 3 < x < 3 \\ x > 3 \\ \\ - 3 < x < 3 \\ \\ c \\ {x}^{2} + 5x - 6 > 0 \\ \\ (x - 1)(x + 6) > 0 \\ \\ x = 1. - 6 \\ \\ x < - 6 \\ - 6 < x < 1 \\ x > 1 \\ \\ x < - 6.x > 1$