Question

Which is the solution to x/3 - 1/6 > 5/6, where x belongs to R?​

Answer 1

Answer:

Step-by-step explanation:Given: −  

3

x

​

≤  

2

x

​

−1  

3

1

​

<  

6

1

​

 

Taking L.C.M. of 3,2 and 6 is 6.

−  

3

x

​

×6≤  

2

x

​

×6−  

3

4

​

×6<  

6

1

​

×6

−2x≤3x−8<1

⇒−2x≤3x−8 and 3x−8<1

⇒8≤3x+2x     ⇒3x<1+8

⇒8≤5x        ⇒3x<9

⇒  

5

8

​

≤x     ⇒x<3

∴ The solution set is {x:1.6≤x≤3,xϵR}