Question

Zadania w załącznikuu

Answer 1

9.b) -2(y+5)-2(y-3) ≥ -3-5y
-2y-10-2y+6≥-3-5y
-4y-4≥-3-5y /+5y+4
y≥1
f)-4(2x+5)-3(2-3x)<8(3+4x)+12
-8x-20-6+9x<24+32x+12
x-26<32x+36 / -32x +26
-31x<62 /:(-31)
x>2
10.a) -3(x-5)+2(4-x)-5(1-3x)≥7(2x-3)-1
-3x+15+8-2x-5+15x>14x-21-1
10x+18>14x-21 /-14x-18
-4x>39 /:-(4)
x<9,75
12. -3(x-1)+x/2 ≤-4(x+2)
-3x+3 +x/2 ≤-4x -8 / +4x -3
x +x/2 ≤-11
3x/2 ≤-11
3x≤-22
x≤ 7 1/3
13. x/2 -x +1 ≥3x/4 +5x/6
-x/2 +1 ≥9x/12 + 10x/12
-x/2 +1 ≥19x/12 /+ x/2
1 ≥19x/12 +x/2
1 ≥19x/12 +6x/12
1 ≥25x/12 /*12
12≥25x
0,48≥x
14. (x+4)/3 -(x-5)/2 <-2(x-3)-3,25
2(x+4)/6 -3(x-5)/6 <-2x +6 -3,25
(2x+8-3x+15)/6 <-2x+2,75
(-x+23)/6 < -2x+2,75 /*6
-x+23 <-12x+16,5 / +12x-23
11x<-6,5
x<-6,5/11
x<13/22
17. a) 6-4(y-3)=22
6-4y+12=22
-4y=4
y=-1
b) 15z+3(1-2z)=9z
15z+3-6z=9z
9z+3=9z
3≠0
równanie sprzeczne
18.b) (x-1)/3 +(2x-1)/2 =4 1/6 + 1/3(7-x)
(2x-2)/6 + (6x-3)/6 = 25/6 + 7/3 - x/3 /+x/3
(2x-2+6x-3)/6 +x/3 = 25/6 + 14/6
(8x-5)/6 +2x/6 = 39/6 /:6
10x-5 = 39 /+5
10x= 44
x=4,4