Question

Find the solution sets of the following inequalities and represent them graphically.
a)x+1 5
b)x+2>5
c)10>x+7

Answer 1

Answer:

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)