diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 1d39566..5b9ed07 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json @@ -13,7 +13,7 @@ { "path": "/", "date": "2022-03-19", - "size": 801853 + "size": 802553 } ], "activityHistory": [ @@ -506,7 +506,7 @@ }, { "date": "2022-03-19", - "value": 78 + "value": 778 } ] } diff --git a/notes/mat/Nerovnice.md b/notes/mat/Nerovnice.md index 027503b..7b9ae8e 100644 --- a/notes/mat/Nerovnice.md +++ b/notes/mat/Nerovnice.md @@ -101,3 +101,18 @@ $$\frac{x+1}{x+3}\gt\frac{x+5}{x+6}$$ --- $$\frac{x+3}{x+5}\geq\frac{x+2}{x-1}$$ + +--- + +$\frac{x-2}{3-x}+2 \leq 7$ $x \ne 3$ $x-2 + 6 - 2x \leq 21 - 7x$ $-x + 4 \leq 21 - 7x$ $6x \leq 17$ $x \leq 17/6$ +$K = (-\infty ; 17/6 \rangle$ + +--- + +$\frac{5-x}{x-1}-3 \geq 2$ $x \ne 1$ $5-x-3x + 3 \geq 2x-2$ $8 - 4x \geq 2x - 2$ $10\geq6x$ $10/6 \geq x$ +$K = (-\infty; 10/6 \rangle$ + +--- + +$\frac{-(x-2)}{x}-3 \leq 10$ $x \ne 0$ $\frac{-x+2}{x}-3 \leq 10$ $-x+2-3x \leq 10$ $-4x \leq 8$ $-x \leq 2$ $x \geq-2$ +$K = \langle -2 ; \infty$