Question 54552: 38. [ x + 2y ]greater than or equal to 6
i do not knwo how to graph absolute values
the bracket are to before the x and after y stand for absolute value. by the way what is the difference between the brackets and teh absolute value sign?
thank you in advance
Found 2 solutions by wgomero, stanbon:
Answer by wgomero(28)   (Show Source):
You can put this solution on YOUR website! resolution:
[x + 2y] = 6
In order to graph you need to find two points. Let's find them assigning values to X
when x = 0; 0 + 2y = 6; y = 6/2 = 3; then y = 3
wen x = 2 , 2 + 2y = 6 ; 2y = 6 - 2; 2y=4; y = 4/2; then y 2
The points are (0, 3), (2,2)
now plug the points in the x and y coordinates.
In this instance the brackets are treated the same as absolute value (remove the brackets).
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! [ x + 2y ]greater than or equal to 6
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This means:
x+2y>=6 OR x+2y<=-6
y>=(-1/2)x+3 OR y<=(-1/2)x-3
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Graph the two lines:
y>=(-1/2)x+3
Two points are (0,3) and (2,2)
Draw the line and shade the half-plane above the line.
y<=(-1/2)x-3
Two points are (0,-3) and (2,-4)
Draw the line and shade the half-plane below the line.
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The final graph is the union of the lines and the shaded areas.
Cheers,
stan H.
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