Question

Rezolvati in R urmatoarele inecuatii : a) 4(2x-3)> 3x +8 b) 5(2x+1) sau egal 3x + 29 e) 26 x - 2 < 6(5x-3) f) 4-31x > 9(1-4x)​

Answer 1

a) 4(2x-3)>3x+8

8x-12>3x+8

8x-3x>8+12

5x>20

x>4

x€ (4;+infinit)

b) 5(2x+1) > sau egal 3x+29

10x+5 > sau egal 3x+29

10x-3x > sau egal 29-5

7x>sau egal 24

x >sau egal 3,4

x€[3.4; + infinit)

e) 26x-2<6(5x-3)

26x-2<30x-18

26x-30x<-18+2

-4x<-16

x>4

x€(4;+infinit)

f) 4-31x>9(1-4x)

4-31x>9-36x

-31x+36x>9-4

5x>5

x>1

x€(1;+infinit)