Question

# Determine whether the ordered pair is a solution for the given inequality. Write yes or no. $y<-0.2 x^{2}+9 x-7,(10,63)$

Solution

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Step 1
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Given $\textit{statement}$:

$\boxed{y<-0.2x^2+9x-7, \ \left(10,63\right)}$

To test this $\textit{statement}$, we will plug in $x=10$ and $y=63$ into this $\textbf{inequality}$.

\begin{align*} y<-0.2x^2+9x-7 \to 63 < -0.2\cdot\left(10\right)^2 + 9\cdot 9 - 7 \to 63 < -0.2\cdot 100 + 90 - 7 \to 63 <63 \end{align*}

Since we did not get a valid statement, the answer is $\textbf{No}$.

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