vault backup: 2022-03-19 18:00:53

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
         }
       ]
     }

notes/mat/Nerovnice.md

@@ -101,3 +101,18 @@ $$\frac{x+1}{x+3}\gt\frac{x+5}{x+6}$$
 
 ---
 $$\frac{x+3}{x+5}\geq\frac{x+2}{x-1}$$
+
+---
+  
+$\frac{x-2}{3-x}+2 \leq 7$ $x \ne 3$ $x-2 + 6 - 2x \leq 21 - 7x$ $-x + 4 \leq 21 - 7x$ $6x \leq 17$ $x \leq 17/6$
+$K = (-\infty ; 17/6 \rangle$
+
+---
+
+$\frac{5-x}{x-1}-3 \geq 2$ $x \ne 1$ $5-x-3x + 3 \geq 2x-2$ $8 - 4x \geq 2x - 2$ $10\geq6x$ $10/6 \geq x$
+$K = (-\infty; 10/6 \rangle$
+
+---
+
+$\frac{-(x-2)}{x}-3 \leq 10$ $x \ne 0$ $\frac{-x+2}{x}-3 \leq 10$ $-x+2-3x \leq 10$ $-4x \leq 8$ $-x \leq 2$ $x \geq-2$
+$K = \langle -2 ; \infty$