consider the following sets.\nu = {ordered pairs on a coordinate plane}\na = {ordered pair solutions to y =…
consider the following sets.\nu = {ordered pairs on a coordinate plane}\na = {ordered pair solutions to y = x}\nb = {ordered pair solutions to y = 2x}\nwhich ordered pair satisfies a ∩ b?\n(0, 0)\n(1, 1)\n(1, 2)\n(2, 1)
Answer
Explanation:
Step1: Check for intersection condition
We need to find a point that satisfies both $y = x$ and $y=2x$.
Step2: Substitute options
For option $(0,0)$: For $y = x$, when $x = 0$, $y=0$. For $y = 2x$, when $x = 0$, $y = 2\times0=0$. For option $(1,1)$: For $y = x$, when $x = 1$, $y = 1$. But for $y=2x$, when $x = 1$, $y=2\times1 = 2\neq1$. For option $(1,2)$: For $y = x$, when $x = 1$, $y = 1\neq2$. For option $(2,1)$: For $y = x$, when $x = 2$, $y = 2\neq1$.
Answer:
$(0,0)$