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Question

# Determine whether the ordered pair is a solution for the given inequality. Write yes or no. $y \geq 2|x|^{3}-7,(0,0)$

Solution

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Given $\textit{statement}$:

$\boxed{y\ge 2\left|x\right|^3-7, \ \left(0,0\right)}$

To test this $\textit{statement}$, we will plug in $x=0$ and $y=0$ into this $\textbf{inequality}$.

\begin{align*} y\ge 2\left|x\right|^3-7 \to 0\ge 2\left|0\right|^3-7 \to 0 \ge -7 \end{align*}

Since we got a valid statement, the answer is $\textbf{Yes}$.

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