Ajuda ai por favor. Preciso pra hoje .
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
a)x/5-5/3+x<-1 mmc= 5x3=15
3x/15-25/15+15x/15<-15/15
3x-25+15x<-15
18x<-15+25
x<10/18 (÷2)
x< 5/9
------------------------------------
b)x-1/2>1+x/3 mmc= 2x3=6
3(x-1)/6>6.1/6+2.x/6
3x-3>6+2x
3x-2x>6+3
x>9
-------------------------------------
c)x/5>1/4-2-x/2 mmc= 5,4,2 :2= 5,2,1:2= 5,1,1:5 =1, 1, 1, = 2x2x5=20
4x/20> 5/20-10(2-x)/20
4x>5-20+10x
4x-10x> -15
-6x> -15 (-1)
6x<15
x<15/6 (÷3)
x<5/2
-------------------------------
d)x+1/4≤ x-2/8 mmc= 4,8:2= 2,4:2= 1,2:2 = 1,1 = 2x2x2=8
2(x+1)/8≤x-2/8
2x+2≤x-2
2x-x≤-2-2
x≤ -4
---------------------------------
e) x/2>2(1-x) mmc=2
x/2>4(1-x)/2
x>4-4x
x+4x>4
5x>4
x>4/5
-------------------------------
f)x-1/4>-1/6+x-2/3 mmc= 3,4,6:2= 3,2,3:2= 3,1,3:3= 1,1,1 = 2x2x3= 12
3(x-1)/12>2.-1/12+4(x-2)/12
3x-3>-2+4x-8
3x-4x>-2-8+3
-x>-7 (-1)
x<7