Question

Rezolvati in multimea numerelor intregi inecuatiile:
a) $(x+1) ^{2}<x(x+3)+5 b)(2x+3) ^{2} >2x(2x+5)+1$

Answer 1

a)⇒   x²+2x+1<x²+3x+5
x²-x²+2x-3x<5-1
-x<4      ·(-1)
x>4,     x∈(4, +α)
b)⇒  4x²+6x+9>4x²+10x+1
4x²-4x²+6x-10x>1-9
-4x>-8    (-1)
x<8/4
x<2
x∈(-α, 2)