sarahcarruth77
sarahcarruth77 sarahcarruth77
  • 21-03-2019
  • Mathematics
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What are the solutions to the inequality?

What are the solutions to the inequality class=

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Kamikazeminem
Kamikazeminem Kamikazeminem
  • 21-03-2019

[tex](x - 3)(x + 5) \leqslant 0 \\ \begin{cases}x - 3 \geqslant 0 \\x + 5 \leqslant 0 \end{cases} \: \vee \: \begin{cases} x - 3 \leqslant 0\\x - 5 \geqslant 0 \end{cases} \\ \Leftrightarrow \begin{cases}x \geqslant 3 \\ x \leqslant - 5\end{cases} \: \vee \: \begin{cases}x \leqslant 3 \\x \geqslant + 5 \end{cases} \\ \Leftrightarrow x\in\emptyset \: \vee \: - 5 \leqslant x \leqslant 3 \\ \Leftrightarrow - 5 \leqslant x \leqslant 3[/tex]

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