Consider the following sets. U = {ordered pairs on a coordinate plane} A = {ordered pair solutions to y = x} B = {ordered pair solutions to y = 2x} Which ordered pair satisfies A ∩ B? (0, 0) (1, 1) (1, 2) (2, 1)

(0,0)

Explanation:

Let, (x,y) belong to AB

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 AB is (0,0).

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los

explanation:

translation:

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