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Did I get this right? And please explain why or why not please

Did I get this right? And please explain why or why not please-example-1

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\bf 7x^2-10\implies 7(\stackrel{x}{6})^2-10\implies 7(36)-10\implies 252-10\implies 242 \\\\\\ 43\ \textless \ y-30\implies 43+30\ \textless \ y\implies 73\ \textless \ y\qquad y= \begin{cases} 74\\ 75\\ 76\\ 77\\ ...+\infty \end{cases}
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User Radu Ionescu
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