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If \( |x+5| \geq 10 \) then
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Verified Answer
The correct answer is:
\( x \in(-\infty,-15] \cup[5, \infty) \)
Given that, $|x+5| \geq 10$
$\Rightarrow-10 \geq x+5 \geq 10$
$\Rightarrow-15 \geq x \geq 5$
$\Rightarrow x \in(-\infty,-15] \cup[5, \infty)$
$\Rightarrow-10 \geq x+5 \geq 10$
$\Rightarrow-15 \geq x \geq 5$
$\Rightarrow x \in(-\infty,-15] \cup[5, \infty)$
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