Question

1.Rozwiąż nierówność.

a) -1/2(6x-3) > 5/8(16+4x)

b) x+5/4 (\< - rowne jest) 7-x/6

c) (2x-5)/5 - (3x+5)/10 <5

d) 4x/3+(2x-4)/4 < 1i 1/2x +5

Answer 1

A) -1/2(6x-3) > 5/8(16+4x) //*8
-4(6x-3)>5(16+4x)
-24x+12>80 +20x
-44x>68 //:(-44)
x<-68/44
x<15/11

b) x+5/4 (\< - rowne jest) 7-x/6
x+5/4<=7-x/6 //*24
24x+30<=168- 4x
28x <= 138
x<= 138/28
x<=69/14

c) (2x-5)/5 - (3x+5)/10 <5 //*10
2(2x-5) -(3x+5) <50
4x-10-3x-5<50
x-15<50
x<65

d)4x/3+(2x-4)/4 < 1i 1/2x +5 //*12
16x+3(2x-4)<18x+60
16x+6x-24<18x+60
22x-24<18x+60
4x<84
x<21

Answer 2

A) /*8
-4(6x-3)>5(16+4x)
-24x + 12 >80 + 20x
-24x-20x>80-12
-44x>68
x< - 68/44
x< - 1 i 24/44
x< -1 i 6/11

B) / *12
12x+15 <=7 - 2x
12x+2x<= 7-15
14x <= -8
x<=-4/7

c) /*10
2(2x-5) -3x-5<2
4x-10-3x-5<2
x<2+15
x<17

d) /*12
16x+ 3(2x-4)<18x + 60
16x + 6x - 12 -18x <60
4x<60+12
4x<72
x<18