Question

Fie A={-3,-2,-1,-1,0,3,4,5,9}.Determinati multimea A(reunit)S,unde S este multimea solutiilor pentru fiecare dintre inecuatiile urmatoare,rezolvate in multimea numereleor intregi:
a)x+2>5
b)x+15≤13
c)2x-1<3

Answer 1

a)x+2>5⇒    x>5-3
x>2
x∈(2, +α)
b) x+15≤13
x≤13-15
x≤-12
x∈(-α, -12]
c) 2x-1<3  ⇒   2x<3+1
2x<4⇒   x<4/2
x<2
x∈(-α, 2)
S={.....-15,-14, .......-2,-1,0,1,2,3,.....}
AUS={......-14,....-3,-2,-1,0,1,2,3.....9...}