Question

4/x-3 -3/x-1=5/x-1-4/x-2

Answer 1

Answer:

Step-by-step explanation:

Given inequality

3

4x

​

−  

4

9

​

<x+  

4

3

​

 …(1)  and    

3

7x−1

​

−  

6

7x+2

​

>x …(2)

Solving the above inequality (1) we get,

3

4x

​

−  

4

9

​

−  

4

3

​

<x

12

16x−27−9

​

<x

16x−36<12x

16x−12x<36

4x<36

x<  

4

36

​

 

or x<9 ....(3)

Now, solving inequality (2)

6

14x−2−7x−2

​

>x

6

7x−4

​

>x

7x−4>6x

7x−6x>4

x>4 ....(4)

Hence, from equations (3) and (4) the domain of x is given by

(4,9)