SOLUTION: solve each system of inequalities by graphing 18. y > 4 y < |x-1| 21. yless than or equal to -4/3x ygreater than or equal to -|x| please help me with these two quest

Algebra ->  College  -> Linear Algebra -> SOLUTION: solve each system of inequalities by graphing 18. y > 4 y < |x-1| 21. yless than or equal to -4/3x ygreater than or equal to -|x| please help me with these two quest      Log On


   

Question 268737: solve each system of inequalities by graphing
18.
y > 4
y < |x-1|
21.
yless than or equal to -4/3x
ygreater than or equal to -|x|
please help me with these two questions. I have no idea how to find solutions for systems of inequalities with absolute value brackets... Thanks so much!!! ANY help is very much appretiated!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve each system of inequalities by graphing
18.
y > 4
Graph y = 4 as a dashed line.
Shade the half-plane ABOVE the dashed line.
graph%28400%2C300%2C-10%2C10%2C-5%2C10%2Cy+%3E+4%29
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y < |x-1|
Graph y = |x-1| as a dashed line.
Shade the area below the v-shaped graph
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3C+abs%28x-1%29%2Cabs%28x-1%29%29
21.
yless than or equal to -4/3x
Graph y = (-4/3)x as a solid line.
Shade the half-plane BELOW the line.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3C+%28-4%2F3%29x%2C+%28-4%2F3%29x%29
--------------------------------------------------------------
ygreater than or equal to -|x|
Graph y = -|x| as an upside-down V.
Shade the area ABOVE the V.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3E+-abs%28x%29%2C-abs%28x%29%29
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Cheers,
Stan H.