Question

Stabiliti valoarea de adevarat a propozitiilor:
a) {0,1,2,3} = {x ∈Ν/x<4}
c) {x∈N/2x-3 ≤9}⊂{ y∈N/3y+1≤ 22}
d) {x∈N/7< x+2≤10}⊃{x∈N/60≤2ˣ≤65}
VA ROOOOOOG MA AJUTATI!!!!!!!!!!!??????????????

Answer 1

a) x<4 dar x apartine N=> x=(0;3) deci a este adevarat adica x={0,1,2,3}
c) 2x-3<=9
2x<=9+3
2x<=12
x<=12÷2
x=<6 dar x apartineN deci x apartine (0;6]
3y+1<=22
3y<=22-1
3y<=21
y<=21÷3
y<=7 dar y apartineN deci y apartine (0;7]
daca x apartine (0;6] inseamna ca x={0,1,2,3,4?5,6} daca y apartien(0;7] inseamna ca y={0,1,2,3,4,5,6,7} deci x inclus in y deci adevarat
d) 7<x+2<=10
7<x<=10-2
7<x<=8 x apartineN deci x={6;7;8}
60=< 2 la puterea x=<65
aici chiar nu imi da