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Question 6 • Mathematics II

Consider the following sets. cap u is equal to ordered pairs on A coordinate plane cap A is equal to ordered pair solutions to y is equal to x cap b is equal to ordered pair solutions to y is equal to 2 x Which ordered pair is in the intersection of cap A and cap b ?

Answer
A
open paren 0 comma 0 close paren
B
open paren 2 comma 1 close paren
C
open paren 1 comma 2 close paren
D
open paren 1 comma 1 close paren

Explanation

A point in the intersection must satisfy both equations, y = x and y = 2x. Setting their right sides equal gives x = 2x, so x = 0; then y = 0. Therefore, the ordered pair (0, 0), choice D, is in both sets.

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