vault backup: 2022-05-13 08:26:38

notes/.obsidian/plugins/obsidian-activity-history/data.json

@@ -13,7 +13,7 @@
     {
       "path": "/",
       "date": "2022-05-13",
-      "size": 838056
+      "size": 838407
     }
   ],
   "activityHistory": [
@@ -658,7 +658,7 @@
         },
         {
           "date": "2022-05-13",
-          "value": 0
+          "value": 351
         }
       ]
     }

notes/mat/Rovnice/Soustava kvadratických rovnic.md

@@ -207,3 +207,41 @@ $3x\le10$
 $x\le \frac{10}3$
 
 $K=\{<-4; \frac{10}3>\}$
+
+---
+
+$2(x+4)\gt3x-4$
+$2x+8\gt3x-4$
+$2x+12\gt3x$
+$12\gt x$
+$x\lt12$
+
+---
+
+$2|x| - \frac{7|2x-3|}{2}\ge3$
+$2|x|-\frac72|2x-3|\ge3$
+
+Nulové body: 0 a 1.5
+
+$2x-\frac72(2x-3)\ge3$
+$2x-7x-\frac{21}2\ge3$
+$-5x-\frac{21}2\ge3$
+$5x+\frac{21}2\le-3$
+$5x\le-13.5$
+$x\le-2.7$
+
+$-2x-\frac72(2x-3)\ge3$
+$-2x-7x-10.5\ge3$
+$-9x-10.5\ge3$
+$9x+10.5\le-3$
+$9x\le-13.5$
+$x\le1.5$
+
+$2x+\frac72(2x-3)\ge3$
+$2x+7x-10.5\ge3$
+$9x-10.5\ge3$
+$9x\ge13.5$
+$x\ge1.5$
+
+---
+