Question

rezolvati in multimea numerelor naturale inecuatia: 2la puterea x+1≤16

Answer 1

A={x∈N|$2^{x}$+1≤16}
Incepem sa-i dam valori lui x:
$2^{0}$+1≤16 (A)
$2^{1}$+1≤16 (A)
$2^{2}$+1≤16 (A)
$2^{3}$+1≤16 (A)
$2^{4}$+1≤16 (F)
A={0,1,2,3}

Answer 2

2 la puterea x+1≤2⁴
x+1≤4
x≤3
x∈(-∞;3]