Question

The graphical solution of a system of linear
inequalities is shown in the figure.
----
(a) Find the equation of the lines L1, L2, L3,
(b) Find the inequalities representing the solu-
tion region.​

Answer 1

Solution is in the picture

Answer 2

Answer:

Given: Three lines drawn in a graph

The equation of the  line L1 (0,4) and (2,2),

$y-4=\frac{2-4}{2-0}(x-0)$

$y-4=\frac{-2}{2}x$

$y-4=-x$

$x+y=4$

The equation of horizontal line L2,

$y=1$

The equation of the line L3 (0,0) and (2,2),

$y-0=\frac{2-0}{2-0}(x-0)$

      $y=\frac{2}{2}x$

      $y=x$

The inequalities of the line L1,

$x+y\leq4$

The inequalities of the line L2,

$y\geq1$

The inequalities of the line L3,

$x \geq y$

#SPJ3