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so it is less than which means dashed?
put in the form y > .... first
y > -2x + 6
yes, \[\gt~or ~\lt~~dashed\] \[\ge~or~\le~~solid line\]
just remember it can equal the line, so solid line means include those points on the line
now you can just pick 2 points and connect them, x=0 and x=1
When x=0, y = 6, point (x,y) = (0,6) When X=1, y = -2 + 6 = 4 . point (x,y) = (1,4)
this does not include the origin correct?
Since it is "Less than" you shade underneath the line...
Greater than, you would shade above
you said earlier the equation was different. i showed it in my link
yeah i just noticed i mistyped,... right y > -2x + 6 , greater than , shade above the line
are you sure its dashed line for greater than or less than?
i would think it would be solid in that case
yes greater than or less than, dashed line, it doesnt include the line,
so the answer to this one was c
yes, another quick thing you could do for these types probs, is simply test the origin
x = 0, y = 0 -2*0 - 0 < - 6 0 < 6 False, the origin is not part of the solution/shaded area
and it is dotted because of > or <
could i check another equation?
sure, we can do it the quick way
just wanna make sure im doing it right i got the answer already i think
a. 2x - 5y -10 b. x - y > 3 c. 2x - y < -4 d. x + 2y -8
i chose d
what is the sign in d
greater than or equal to
ok, that part is right, it is a solid line and shaded above > or = to
now test a couple points on the line... When x =0, y=-4 on the graph, test in answer d
0 + 2y = -8 y = -4 , so far so good, now test one more point
When y=0, x = -8 on the graph.. x + 2(0) = -8 True also, choice d works
Alright thanks for the help
no prob, good luck