Question

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 $a \cap b$
○ (0, 0)
○ (1, 1)
○ (1, 2)
○ (2, 1)

Explanation:

Step1: Define intersection condition

$A \cap B$ requires $y=x$ and $y=2x$

Step2: Solve the system of equations

Set $x=2x$, so $x-2x=0$ → $-x=0$ → $x=0$
Substitute $x=0$ into $y=x$: $y=0$

Step3: Verify options

Check which pair matches $(0,0)$

Answer:

(0, 0)