Question

Rozwiąż równania i nierówności.

a) (4x-5)/3 < -4x+5

b) 1 - 5x+3/3 = 5/6 - (6x+1)/2 +2x

c) 2[x-(2-4x)]=7

Answer 1

a)

(4x-5)/3 < -4x+5        /*3

4x-5 < -12x+15

4x +12x < 15+5

16x < 20    /:16

x < 20/16

x < 5/4

x < 1 1/4

 

b)

1 - 5x+3/3 = 5/6 - (6x+1)/2 +2x

1 - 5x + 1 = 5/6 - 3x + 1/2 + 2x

-5x + 3x - 2x = 5/6 + 1/2 -2

-4x = 5/6 + 3/6 - 2

-4x = 9/6 - 2

-4x = - 1/2       /:(-4

x = 1/8

 

c)

2[x-(2-4x)]=7

2(x-2+4x)=7

2(5x-2)=7

10x-4=7

10x = 7+4 = 11        /:10

x = 11/10 = 1  1/10