Question

2) 2-x-15 > x-1; 2² x​

Answer 1

Ответ:

$1)\ (2;+\infty)\\\\2)\ (9;+\infty)\\\\3)\ (-\infty;3]\\\\4)\ [5;+\infty)$

Объяснение:

$1)\\11x-8,8 > 4x+5,2\\\\11x-4x > 5,2+8,8\\\\7x > 14\ \ \ |:7\\\\x > 2\\\\x\in(2;+\infty)$

$2)\\2\frac{5}{9}x-15 > x-1\\\\2\frac{5}{9}x-x > -1+15\\\\1\frac{5}{9}x > 14\\\\\frac{14}{9}x > 14\ \ \ |:\frac{14}{9}\\\\x > 14\cdot\frac{9}{14}\\\\x > 9\\\\x\in(9;+\infty)$

$3)\\18,9x-13,4\le10,1x+13\\\\18,9x-10,1x\le13+13,4\\\\8,8x\le26,4\ \ \ \ |:8,8\\\\x\le3\\\\x\in(-\infty;3]$

$4)\\4,6(x-3)\ge4,2+x\\\\4,6x-13,8\ge4,2+x\\\\4,6x-x\ge4,2+13,8\\\\3,6x\ge18\ \ \ \ |:3,6\\\\x\ge5\\\\x\in[5;+\infty)$