Question

rezolvați ecuațiile
a) 4x-5< sau egal 2,x apartine n
b) 7x+9>3x-7, x apartine Z
c) 2|x-1| +3x < sau egal 3 (x+2), x apartine N cu steluta
d) 3|x+2| -2x < sau egal 2 (2-x) +5, x apartine Z


URGEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEENT!!!!!!!!!!!!!!!!!!!!!!!
pls :]]

Answer 1

a) 4x - 5 < sau egal 2 \ +5

4x < sau egal 7

x < sau egal 7/4 => x apartine {0,1}

b) 7x + 9 > 3x - 7

7x - 3x > -16

4x > -16

x > -4 => x apartine {-4,-3,-2,-1.....}

c) 2|x-1|+3x< sau egal 3(x+2)

2x+1+3x< sau egal 3x+6

5x+1< sau egal 3x+6

5x-3x< sau egal 5

2x < sau egal 5

x < sau egal 5/2 => x apartine {2,1}

d)3|x+2|-2x< sau egal 2(2-x)+5

3x-2-2x< sau egal 4-2x+5

x-2< sau egal 4-2x+5

3x< sau egal 11

x< sau egal 11/3 => x apartine {3,2,1,0,-1....}