Question

Rezolvati in multimea numerelor reale inecatiile: URGENT!!
a) |-3x+2| >=5
b) |5x-4| >-1
c) |1-x| <= -1
d) |10-5x| >= -2

Answer 1

a)
|-3x+2|≥5
|3x-2|≥5
 3x-2 ∈(-∞;-5]∪[5,∞)
3x∈(-∞;-3]∪[7,∞)
x∈(-∞;-1]∪[7/3,∞)
S=(-∞;-1]∪[7/3,∞)

b) |5x-4|≥0>-1 adevarat ∀x ∈R; S=R

c) |1-x|<-1  dar |1-x|≥0   deci S=∅

d) |10-5x|≥-2
 dar |10-5x|≥0>-2 , adevarat ∀x∈R, S=R