Question

Resolva as inequações (x - 4)(x2 - 7x + 6) ≥ 0

Answer 1

S ={x € IR | x>=4; x>=6 ou x>=1} x' - 4 >= 0/(x'2 - 7x' + 6) x' - 4 >= 0 x' >= 4 x''2 - 7x'' + 6 >= 0/(x'' - 4) x''2 - 7x'' + 6 >= 0 delta = (-7)2 -4*6*1 delta = 49 - 24 delta = 25 x'' >= (7 +- 5)/2 x'' >= (7 + 5)/2 x'' >= 12/2 x'' >= 6 x''' >= (7 - 5)/2 x''' >= 2/2 x''' >= 1