Question

Rozwiąż nierówność:

a) 3x+1 + 3x ≤ 4/9

b) (2/3)x + (2/3)x−3 ≤ 35/29

Answer 1

a) 3x+1+3x≤4/9

6x+1≤4/9    /*9

54x+9≤4

54x≤-5   /:54

x ≤ -5/54

 

b) (2/3)x+(2/3)x-3≤35/29

(4/3)x≤35/29+3   /*3

4x≤105/29+261/29

4x≤366/29   /:4

x≤183/58

Answer 2

 

a) 3x+1+3x ≤ 4/9

6x+1 ≤4/9

6x ≤4/9-1

6x ≤ -5/9 /6

x ≤ -5/9 *1/6

x ≤ - 5/54

 

b) (2/3)x+(2/3)x-3 ≤ 35/29

(4/3)x-3  ≤ 35/29

(4/3)x  ≤35/29+3  

(4/3)x   ≤ 35/29+87/29

(4/3)x  ≤ 122/29 /(4/3)

x  ≤122/29*3/4

x  ≤ 366/116

x  ≤ 183/58