Question

1) Resolva as inequações produto:

a) (x-2).(1-2x)≤ 0.
b) (2x+1).(x+2)≤ 0.
c) (x-1).(2-x).(-x+4)< 0.
d) (x+3).(x-2)> 0
e) (3x+2).(-3x+4).(x-6)< 0
f) (x+1).(x-2).(x-3)> 0
g) (5-x).(x-2)< 0

Answer 1

Resposta:a)(x - 2).(1 - 2x) ≤ 0

• x - 2 = 0

x = 2

• 1 - 2x = 0

2x = 1

x = 1/2

| 1/2 2 |

x - 2 | - | - | + |

1 - 2x | + | - | - |

(x - 2).(1 - 2x) | - | + | - |

Logo, x ≤ 1/2 ou x ≥ 2