Question

(a 2x - 3 < 5-x

(b 3 razy (1-x) + 7 < 9

(c jedna druga razy (10 x +8) - x > 2

(d x- (3-2 x) < 4

(e 7x - jedna druga razy (2x+6) > x

Answer 1

(a 2x - 3 < 5-x

2x-x<5+3

x<8

(b 3 · (1-x) + 7 < 9

3-3x+7<9

-3x<9-10

-3x<-1/:(-3)

x>1/3

(c jedna druga     · (10 x +8) - x > 2

5x+4-x>2

4x>-2/:4

x>-1/2

(d x- (3-2 x) < 4

x+3+2x<4

3x<4-3

3x<1/:3

x<1/3

(e 7x - jedna druga · (2x+6) > x

14x-1(2x+6)>2x

14x-2x-2x>-6

10x>-6/:10

x>-6/10

Answer 2

A)      2x-3<5-x      /+x

         3x-3<5         /+3

             3x<8        /:3

              x>trzy ósme

B)      3*(1-x) +7<9    

             3-3x+7<9    

              10-3x<9     /-10

                 -3x<-1     /:(-3)

                    x>trzy pierwsze

C)      jedna druga *(10x+8)-x>2

                                5x+4-x>2

                                 4x+4>2      /-4

                                     4x>-2    /:4

                                      x>-jedna druga

D)    

         7x- jedna druga * (2x+6)>x

            7x-1x+3>x

                 6x+3>x          /-6x

                      3>-5x        /:(-5)

                      trzy piate<x