Question

Rezolvați inecuația în R 3x+2>2(x-1) 7(x-2)<_ 5(2x+1)-22
-1+3x>2x-5
4(x-1)la puterea 2 -7<_(2x+5) la puterea 2
(x+1)(3x-1)+3<_2(x-1)la puterea 2 +x la puterea 2
(x+1)la puterea 2-(x-2)la puterea 2 >4-x
3(x+6)-(2x+1) la puterea 2 -13<(x-2) la puterea 2 -5x(2+x)

Answer 1

^ inseamna la putere
3x+2>2x-2
3x-2x>-2-2
x>-4

7x-14<_10x+5-22
7x-10x<_ -17+14
-3x<_ -3
x>_1

3x-2x>-5+1
x>-4

4(x^2-2x+1)-7<_4x^2+20x+25
4x^2-8x+4-7<_ 4x^2+20x+25
-8x-20x<_25+3
-28x<_28
x>_-1

3x^2-x+3x-1+3<_2x^2-4x+2+x^2
3x^2+2x+2<_ 3x^2-4x+2
2x+4x<_2-2
6x<_ 0
x<_0

x^2+2x+1-x^2+4x-4>4-x
6x-1>4-x
6x+x>4+1
7x>5
x>5/7

3x+18-4x^2-4x-1-13<x^2-4x+4-10x-5x^2
-4x^2-x+4<-4x^2-14x+4
-x+14x<4-4
13x<0
x<0