Solve the inequality and represent the solution graphically on number line.
2(x−1)<x+5,3(x+2)>2−x
Red line is y=2x−2
Green line is y=x+5
black line y=2−x
blue line is y=3x+6
Since 2x−1<x+5for all x<7
and 3(x+2)>2−xforallx>−1
So intersection of these x∈(−1,7)