​ Solve the following systems of linear in equations: –2 < 6-5x / 4 < 7 ​

Question

Solve the following systems of linear in equations:

–2 < ^{\(\cfrac{6-5{\text{x}}}{4}\)} < 7

Answer 1

Multiplying both the sides by 4 in the above equation

Now subtracting 6 from both the sides 

6 – 5x – 6 > - 8 – 6 

-5x > -14 

Multiplying both the sides by -1 in above equation 

-5x(-1) > -14(-1) 

5x < 14 

Now, dividing both the sides by 5 in above equation

Multiplying both the sides by 4 in the above equation

6 – 5x < 28 

Now, subtracting 6 from both sides in above equation 

6 – 5x – 6 < 28 – 6 

-5x < 22 

Multiplying both the sides by -1 in above equation 

-5x(-1) < 22(-1) 

5x > -22 

Dividing both the sides by 5 in above equation