Question

Rezolvati in multimea numerelor intregi inecuatiile:
a) 3x-1>-13
b) 8x +3<-21
_
c) 6x- 5>-35
d) 4-5x<-16
e) 2-7x>-26
f) 9- 4x <-19 ​

Answer 1

Răspuns:

a) 3x-1>-13/+1

3x>-12/÷3

x>-4 => x={-3,-2,-1,0,1,2.....infinit

b) 8x+3<-21/-3

8x<-24/÷8

x<3 => x={2,1,0-1,-2,-3,....-infinit}

c) 6x-5>-35/+5

6x>-30/÷6

x>5 => x={6,7,8...,infinit}

d) 4-5x<-16/-4

-5x<-20/×(-1)

5x<20/5

x<4 => x={3,2,1,0,-1,-2,-3.....-infinit}

e)2-7x>-26/-2

-7x>-28/×(-1)

7x>28/÷7

x>4 => x={5,6,7,8,...,infinit}

f)9-4x<-19/-9

-4x<-28/×(-1)

4x<28/÷4

x<7 => x={6,5,4,3,2,1,0,-1,-2,-3.....-infinit}