Question

ESCRIBI TODOS LOS NUMEROS ENTEROS (N) QUE CUMPLEN LAS SIGUIENTES CONDICIONES :

a) n > -5 ∧ n ≤ 0
b) -3 < n < 1
c) nl6
d) $n^{2}$ = 25
e) $(n+1)^{2}$ = 9
f) lnl = 8
g) lnl ≤ 2
h) n = 3 ∧ -20 < n < 10
i) 4 ≤ lnl < 7
j) $n^{2}$ < 10

Answer 1

$a) n > -5 \ \wedge \ n \leq 0 \to \boxed{n= \{-4,-3,-2,-1,0\} } \\ \\ b) -3 < n < 1\to \boxed{n= \{-2,-1,0\} } \\ \\ c) \mid n\mid =6\to \boxed{n=-6 \wedge n=6 } \\ \\ d) n^{2} = 25\to \boxed{n=-5 \wedge n=5 } \\ \\ e) (n+1)^{2} = 9\to n+1= \pm\sqrt{9} \to n+1=\pm 3 \\ \\ n_1=3+1\qquad \qquad n_2=-3+1 \\ \\ \boxed{n_1=4\ \wedge\ n_2=-2}$

$f) \mid n \mid = 8\to \boxed{n=8 \wedge n=-8} \\ \\ g) \mid n \mid \leq 2\to \boxed{n= \{ -2, -1, 0, 1, 2 \} } \\ \\ h) n = 3 \wedge -20 < n < 10\to \boxed{n=\{-18,-15,-12,-9,-6,-3,0,3,6,9\}} \\ \\ i) 4 \leq \mid n \mid < 7\to \boxed{n= -5,5,-6,6,-7,7} \\ \\ j) n^{2} < 10 \to n<\pm \sqrt{10}\to \boxed{n= \{-3,-2,-1,0,1,2,3 \}}$

Espero que te sirva, salu2!!!!