Question

Fie multimea A={x apartine lui N|2x + a < 10, a apartine lui N} Determinati numarul natural a astfel incat:

a)card A=0
b)card A=1
c)card A=2
d)card A=3


Va rog ajutatima dau coronita

Answer 1

Explicație pas cu pas:

a) 2x + 10 < 10 => 2x < 0 => x < 0 => A = ∅ => card A = 0

b) 2x + 8 < 10 => 2x < 2 => x < 1 => A = {0} => card A = 1

c) 2x + 6 < 10 => 2x < 4 => x < 2 => A = {0, 1} => card A = 2

d) 2x + 4 < 10 => 2x < 6 => x < 3 => A = {0, 1, 2} => card A = 3