What mathematical statement would describe all the points on the left side of the line y = x + 2? How about all the points on the right side of the line y = x + 2?
Answers
Given : y = x + 2
To Find : mathematical statement which describe all the points on the left side of the line y = x + 2
mathematical statement which describe all the points on the right side of the line y = x + 2
Solution:
y = x + 2
x y
-2 0
-1 1
0 2
1 3
2 4
Point ( -2 , 0) lies on line
and origin (0 , 0) is on the right side of (-2 , 0)
x + 2 = 0 + 2 = 2
y = 2 for x = 0
but origin is ( 0 , 0)
=> 0 < 2
=> y < x + 2 on right side
y < x + 2 describe all the points on the right side of the line y = x + 2
y > x + 2 describe all the points on the left side of the line y = x + 2
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