Question

http://prntscr.com/8ubx0k

Answer 1

@imqwerty

Answer 2

ok so 1st lets find out the equation of the blue part

in the blue part y is always less than or equal to 6 no matter what x is
so\[y \le 6\]
now lets find the equation of boundary of the green part->
we use the 2 point form to get the equation .......we know that it passes through (0,0) and (1,1)
so \[\frac{ y-y_{1} }{ y_{2}-y_{1}}=\frac{ x-x_{1} }{ x_{2}-x_{1} }\]\[\frac{ y-0 }{ 1-0 }=\frac{ x-0 }{ 1-0 }\]so y=x or y-x=0 is the equation of the green boundary not the green part
for the green part we notice that the value of y-x for any point inside the shaded part is always greater than 0
so y-x>0


so we have 2 equations -
y-x>0
and
y <=6