Question

Solve and represent the solution on a number line X+5 /2 + X-3 /3 ≤ 7x+4 /2 - X+7 /3​

Answer 1

Answer

Given: −3(x−7)≥15−7x>  

3

x+1

​

 

−3x+21≥15−7x>  

3

x+1

​

 

⇒−3x+21≥15−7x and 155−7x>  

3

x+1

​

 

⇒4x≥−6 and 45−21x>x+1

⇒x≥−  

2

3

​

 and 44>22x

⇒x≥  

2

−3

​

 and 2>x

∴ Solution set ={x:x∈R,  

2

−3

​

≤x<2}