5. x - y = 2 linear inequality
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Answer:
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For:
x = 0
0 − y = 2
− y = 2
− y − 1 = 2 − 1
y = − 2
or
( 0 , − 2)
For: y = 0
x − 0 = 2
x = 2
or
( 2,0)
We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
graph{(x^2+(y+2)^2-0.035)((x-2)^2+y^2-0.035)(x-y-2)=0 [-10, 10, -5, 5]}
Now, we can shade the right side of the line.
We also need to change the boundary line to a dashed line because the inequality operator does not contain an "or equal to" clause.
graph{(x-y-2) > 0 [-10, 10, -5, 5]}
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