Answer:
y < (1/3)x + 2; y <= -2x + 2
Explanation:
to find the system of linear inequalities you must first find the equations to the lines
for the dotted line the equation is
y = (1/3)x + 2
the equation that isnt a dotted lines equation is
y = -2x + 2
to find out which way the line is shaded we must plug in points
an easy way to do this is to start by putting 0, 0 into the equation
for the first one
0 ? 0 + 2
0 ? 2
the answer is <
because the line is dotted that means that the equation is just the less than symbol
then we can also plug in 0, 0 for the next equation
0 ? 0 + 2
0 ? 2
the answer is <=
this is because the line is not dotted
so the 2 equations are
y < (1/3)x + 2; y <= -2x + 2