Answer:
(0,0)
Step-by-step explanation:
We have,
U = { (x,y) : x,y belong to real numbers }
A = { (x,y) : (x,y) is a solution of y=x }
B = { (x,y) : (x,y) is a solution of y=2x }
We need to find the ordered pair (x,y) that belong to A[tex]\bigcap[/tex]B.
Let, (x,y) belong to A[tex]\bigcap[/tex]B
i.e. (x,y) belong to A and (x,y) belong to B
i.e. y = x and y = 2x
i.e. x = 2x
i.e. x = 0
Now, substitute x= 0 in any of the equation say y = x, we get y = 0.
Hence, the ordered pair satisfying A[tex]\bigcap[/tex]B is (0,0).
For a set U, The ordered pair satisfies A ∩ B is mathematically given as
x = 0, y = 0 (0,0)
Question Parameter(s):
U = {ordered pairs on a coordinate plane}
A = {ordered pair solutions to y = x}
B = {ordered pair solutions to y = 2x}
if (x,y) belongs to AnB
y = x and y = 2x
x = 0
In conclusion, subsituting we have
y = x and y = 2x
y = 0
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