If |x+2| leq 9, then which of the following i | vedclass

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(B) Given the inequality $|x+2| \leq 9.$ By the property of absolute value inequalities,$|u| \leq a$ implies $-a \leq u \leq a$ for $a > 0.$ Applying

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$x \in [-11, 7]$

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(B) Given the inequality $|x+2| \leq 9.$ By the property of absolute value inequalities,$|u| \leq a$ implies $-a \leq u \leq a$ for $a > 0.$ Applying this to the given expression: $-9 \leq x+2 \leq 9$ Subtract $2$ from all parts of the inequality: $-9 - 2 \leq x \leq 9 - 2$ $-11 \leq x \leq 7$ In interval notation,this is written as $x \in [-11, 7].$ Therefore,the correct option is $B$.

If $|x+2| \leq 9,$ then which of the following is true?

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