Lista 1 Inequações

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UFPB/CCEN/Departamento de Matema´tica
Ca´lculo Diferencial e Integral I - Semestre 2013.2
1a Lista de Exerc´ıcios
1. Resolva as inequac¸o˜es:
(a) 3− x < 5 + 3x
(b)
x + 1
2− x <
x
3 + x
(c)
2x− 1
x + 1
≥ 0
(d)
3
x− 5 ≤ 2
(e) x2 − 3x + 2 > 0
(f)
2x− 1
x− 3 > 5
(g) (x2 − 1)(x + 4) ≤ 0
2. Resolver as equac¸o˜es em R.
(a) |5x− 3| = 12
(b) |2x− 3| = |7x− 5|
(c)
∣∣∣∣x + 2x− 2
∣∣∣∣ = 5
(d) |9x| − 11 = x
(e) 2x− 7 = |x|+ 1
3. Resolver as inequac¸o˜es em R.
(a) |x + 12| < 7
(b) |5− 6x| ≥ 9
(c) |6 + 2x| < |4− x|
(d)
∣∣∣∣2 + x3− x
∣∣∣∣ > 4
(e)
∣∣∣∣3− 2x1 + x
∣∣∣∣ ≤ 4