SOLUTION: Graph the inequality. {{{y<=3x}}}
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Question 124719
:
Graph the inequality.
Answer by
jim_thompson5910(35256)
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In order to graph
, we need to graph the
equation
(just replace the inequality sign with an equal sign).
So lets graph the line
(note: if you need help with graphing, check out this
solver
)
graph of
Now lets pick a test point, say (0,1). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality
with the test point
Substitute (0,1) into the inequality
Plug in
and
Simplify
Since this inequality is
not
true, we do
not
shade the entire region that contains (0,1). So this means we shade the region that is on the opposite side of the line
Graph of
with the boundary (which is the line
in red) and the shaded region (in green)
(