Question

Rezolvati urmatoarele inecuatii in multimea N:
a) 5-x>0 b) -3x+13>0 c) |-4|x-16≤0 d) √45-x√5≥0
e) -4x+11>0 f) √3x-√5>0
Repedeva rog! Multumesc!!

Answer 1

a) 5-x>0
x<5      x∈{0,1,2,3,4}
b) -3x+13>0
3x<13
x<13/3    x∈{0,1,2,3}
c) |-4|x-16≤0
4x-16≤0
4x≤16
x≤4  x∈{0,1,2,3,4}
d) √45-x√5≥0
3√5-x√5≥0
3-x≥0
x≤3    x∈{0,1,2,3}
e) -4x+11>0
4x<11
x<11/4    x∈{0,1,2}
f) √3x-√5>0
x>√5/√3    x∈{0,1}