Question

2. Rezolvaţi în N inecuațiile:
a) x < 5;
c) 3x-1≤9; Rezolvati in Ninequatiile:
b) x-4>2; d) x + 2 ≥ 2x-3.​

Answer 1

a) x = {0,1,2,3,4}

b) x-4 > 2

x > 2+4

x > 6

x = {7,8,9,.....}

c) 3x-1 </ 9

3x </ 10

x </ 10/3

x  = {0,1,2,3}

d) x+2 >/ 2x-3

x -2x >/ -3-2

-x >/ -5

x </ 5

x = {0,1,2,3,4,5}

Answer 2

Răspuns:

a) x < 5

x∈{0,1,2,3,4}

c) 3x-1 ≤ 9

3x ≤ 9+1

x ≤ 10/3 =>x ∉ N

b) x-4>2

x > 2+4

x > 6

x∈{7,8,9,10..∞}

d) x + 2 ≥ 2x-3.

2+3 ≥ 2x-x

x ≤ 5

x ∈{0,1,2,3,4,5}