Question

VA ROGGGG
a) x-2<3 x apartine n
b) -x> -4 x apartine n
c) -x+5>2 x apartine n
d) 2x+1 l < sau egal 9 x apartine n
e) -6x> sau egal 012 x apartine n
f) -3x+8> sau egal x apartine n

Answer 1

Răspuns:

Explicație pas cu pas:

a) x-2 < 3  ; x ∈ N =>

x < 2+3 => x < 5 ; x ∈ N =>

x ∈ {0 ; 1 ; 2 ; 3 ;4}

b) -x > -4 ; x ∈ N =>

4 > x => x < 4 ; x ∈ N =>

x ∈ {0 ; 1 ; 2 ; 3}

c) -x+5 > 2 ; x ∈ N =>

5-2 > x => 3 > x => x < 3 ; x ∈ N =>

x ∈ {0 ; 1 ; 2}

d) 2x+1 ≤ 9 ; x ∈ N =>

2x ≤ 8  I:2 => x ≤ 4 ; x ∈ N =>

x ∈ {0 ; 1 ; 2 ; 3 ; 4}

e) -6x ≥ -12 ; x ∈ N =>

12 ≥ 6x  I:6 => 2 ≥ x => x ≤ 2 ; x ∈ N =>

x ∈ {0 ; 1 ; 2}

f) -3x+8 ≥ x  ; x ∈ N =>

-4x ≥ -8 => 8 ≥ 4x  I:4 => 2 ≥ x =>

x ≤ 2 ; x ∈ N => x ∈ {0 ; 1 ; 2}