Manual de Matemática Preuniversitaria-páginas-332

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Respuestas
Subsección 2.3.2
1. 2.65 × 1018 metros
2. 1.5 × 10−22 kilogramos
3. 1.0204 × 1028 litros
4. 1.02 × 10−23 gramos
5. 3567400000
6. 0.0000000123
7. 640000
8. 0.0000082
Subsección 2.3.3
1. (a) 5 < 8, entonces 5 − 2 < 8 − 2.
(b) 5 < 8, entonces 5 ⋅ (−2) > 8 ⋅ (−2).
(c) 2 > (−3), entonces 2 ⋅ 4 > (−3) ⋅ 4.
(d) (−4) < (−3), entonces (−4) ⋅ (−2) > (−3) ⋅ (−2).
(e) 5 > 3, entonces 5
1
2 > 3
1
2 .
(f) 4 < 6, entonces 43 < 63.
(g) 4 < 6, entonces log3 4 < log3 6.
(h) 4 < 6, entonces log 1
3
4 > log 1
3
6.
2. A = [−2,3); B = (4,∞); C = (0,4]; D = (−∞,−2].
A B
0 1 2 3 4 5 6-1-2-3-4-5-6
D C
0 1 2 3 4 5 6-1-2-3-4-5-6
3.
(2,5) = {x ∈ R ∶ 2 < x < 5}, [2,∞) = {x ∈ R ∶ x ≥ 2},
[−2,1) = {x ∈ R ∶ −2 ≤ x < 1},
(−∞,0) = {x ∈ R ∶ x < 0}, (−6,−3] = {x ∈ R ∶ −6 < x ≤ −3}.
(−∞,0) (2,5)
0 1 2 3 4 5 6-1-2-3-4-5-6
[−2,1) [2,∞)(−6,−3]
0 1 2 3 4 5 6-1-2-3-4-5-6
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