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solve the absolute value inequality. other than \\( \\emptyset \\), use…

Question

solve the absolute value inequality. other than \\( \emptyset \\), use interval notation to express the solution set and graph the solution set on a number line.\\( |x + 4| < 0 \\)\\(\

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\end{array}\\)\\(\bigcirc\\) \\( (4, \infty) \\)\\(\

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\end{array}\\)\\(\bigcirc\\) \\( (-infty, -4) \\)\\(\

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Explanation:

Step1: Recall absolute value property

For any real number $a$, $|a| \geq 0$.

Step2: Analyze the inequality

The inequality is $|x+4| < 0$. Since the absolute value of any expression cannot be negative, there are no real numbers $x$ that satisfy this inequality.

Answer:

$\emptyset$