Rozdział 10 - NIERÓWNOŚCI LOGARYTMICZNE
Lp. |
Nierówność |
Dziedzina |
Postać uproszczona |
WYNIK |
1 |
|
D=(0;+ |
x2+x-2>0 |
Z=(1,+ |
2 |
|
D=R \ {3} |
|
Z=(- |
3 |
|
D= |
|
Z= |
4 |
|
D= |
|
Z= |
5 |
|
D= |
|
Z= |
6 |
|
D= |
|
Z= |
7 |
|
D= |
|
Z= |
8 |
|
D= |
|
Z= |
9 |
|
D=R+\ {1,10} |
logx=k |
Z=(0,10) |
10 |
|
D= |
|
Z= |
11 |
|
D=(1,5) |
|
Z=(2,5) |
12 |
|
|
|
Z= |
13 |
|
D= |
|
Z= |
14 |
|
D=R \ {0} |
|
Z= |
15 |
|
D=R |
|
Z= |
16 |
|
D= |
|
Z= |
17 |
|
D= |
|
Z= |
18 |
|
D= |
|
Z= |
19 |
|
D= |
|
Z=(6,7) |
20 |
|
D= |
|
Z= |
21 |
|
D= |
|
Z= |
22 |
|
Z2= |
|
|
23 |
|
D= |
|
Z=(6,10) |
24 |
|
D= |
3-x>1 lub 3-x<1 |
Z=(1,2) |
25 |
|
D=(1,2) |
|
Z= |
26 |
|
D= |
|
Z= |
27 |
|
D= |
|
Z=(-1,4) |
28 |
|
D=R+ |
|
Z= |
29 |
|
D= |
|
Z=(2,4) |
30 |
|
|
Z= |
|
31 |
|
|
|
Z= |
32 |
|
|
|
Z=(1,4) |
33 |
|
|
|
Z=(-2,1) |
34 |
|
|
|
Z= |
35 |
|
|
|
Z= |
36 |
|
|
|
Z= |
37 |
|
|
|
Z= |
38 |
|
|
Z= |
|
39 |
|
|
|
Z= |
40 |
|
|
|
Z= |
41 |
|
D= |
|
Z= |
42 |
|
D= |
|
Z=(2,4) |
43 |
|
D= |
|
Z= |
44 |
|
D= |
|
Z= |
45 |
|
|
|
Z= |
46 |
|
D= |
|
Z= |
47 |
|
|
Z= |
|
48 |
|
D=(1,6) |
|
Z=(1,5) |
49 |
|
D= |
|
Z= |
50 |
|
D= |
|
Z=(2,3) |
51 |
|
D= |
|
Z=Ř |
52 |
|
D= |
|
Z= |
53 |
|
D= |
|
Z= |
54 |
|
D= |
|
Z=Ř |
55 |
|
D= |
|
Z= |
56 |
|
|
|
Z= |
57 |
|
|
|
Z= |
58 |
|
|
|
Z= |
59 |
|
D= |
|
Z= |
60 |
|
D=Ř |
|
Z=Ř |
61 |
|
D=(0,1) |
|
Z=(0,1) |
62 |
|
D= |
|
Z= |
63 |
|
D= |
|
Z= |
64 |
|
D= |
|
Z= |
65 |
|
D= |
|
Z= |
66 |
|
D |
|
Z= |
67 |
|
D=R \ {1} |
|
Z= |
68 |
|
D=(0;1) |
|
Z=(0;1) |
69 |
log |
D=(2;+ |
|
Z=(2; |