Question

solve the inequality x+1/2 > 2-x/-3,x belongs to R ,(r=real number) and represent the solution on the number line​

Answer 1

Answer:

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}