Question

dacă
$\frac{2}{3} < \frac{x+1}{4}< \frac{7}{6}$
, x€N =>x€...
​

Answer 1

Răspuns:

Explicație pas cu pas:

2/3 < (x + 1)/4

8 < 3(x + 1)

8 < 3x + 3

3x > 8 - 3

3x > 5

x > 5/3

----------------

(x + 1)/4 < 7/6

6(x + 1) < 28

6x + 6 < 28

6x < 22

x < 22/6

x < 11/3

-----------------

5/3 < x < 11/3

x ∈ {2, 3}

Answer 2

2/3<(x+1)/4<7/6

8/12<3(x+1)/12<14/12

8<3(x+1)<14

8<3x+3<14 /-3

5<3x<11 /:3

5/3<x<11/3

1,(6)<x<3,(6)

x∈{2,3}