Question

Rezolvati inecuatiile in multimea Z:
a) 3(x-1)-16(11-2x)+5(3x-5)<6(8x-21)-78
b) 5(2x-1)+2(3-5x)+3(x+1≤3(3x+6)-7(2x-2)
c) 8+9(x+10)+11(x+12)>2(3x-4)+5(6x-7)-3x

Answer 1

a) 3x-3 -176+32x+15x-25<48x-126-78 =>50x-204< 48x-204 =>50x-48x<-204+204 
=> 2x<0 => x<0 => x∈(-∞; 0)
b) 10x-5+6-10x +3x+3≤9x+18-14x+14 =>3x+4≤-5x+32 =>3x+5x≤32-4 =>8x≤28 
=> x≤28:8 =>x≤3,5 => x∈(-∞; 3,5]
c) 8+9x+90+11x+132>6x-8+30-35-3x => 20x+230>3x-13 =>17x> -243 =>x > -243/17 => x∈(-243/17; +∞)

Answer 2

a)3x-1-176+32x+15x-25<48x-126-78 -14x-202<48x-204 -14x-48x<202-204 -62x<-2 X=-62:-2 X=31