Question

4 < 1,5x - 3,5 < 7. ​

Answer 1

Ответ:     ( 5 ; 7 ) .

Пошаговое объяснение:

       4 < 1,5x - 3,5 < 7 ;

    4 + 3,5 < 1,5x < 7 + 3,5 ;

          7,5 < 1,5x < 10,5 ;

     7,5 : 1,5 < x < 10,5 : 1,5 ;  

              5 < x < 7 ;    xЄ ( 5 ; 7 ) .

Answer 2

4<1,5х-3,5<7

1,5х-3,5>4

1,5х-3,5<7

х>5

х<7

х€(5;7)

Answer 3

To solve the inequality 4 < 1.5x - 3.5 < 7, we can break it down into two separate inequalities:

1. 4 < 1.5x - 3.5
2. 1.5x - 3.5 < 7

Let's solve each inequality individually:

1. 4 < 1.5x - 3.5:

   Add 3.5 to both sides to isolate 1.5x: 4 + 3.5 < 1.5x - 3.5 + 3.5 7.5 < 1.5x

   Divide both sides by 1.5: 7.5 / 1.5 < 1.5x / 1.5 5 < x

   So, the first inequality becomes x > 5.

2. 1.5x - 3.5 < 7:

   Add 3.5 to both sides to isolate 1.5x: 1.5x - 3.5 + 3.5 < 7 + 3.5 1.5x < 10.5

   Divide both sides by 1.5: 1.5x / 1.5 < 10.5 / 1.5 x < 7

   So, the second inequality becomes x < 7.

Combining the results from both inequalities, we have: 5 < x < 7.

Therefore, the solution to the original inequality 4 < 1.5x - 3.5 < 7 is 5 < x < 7.