Q
QuestionMathematics

What is the solution to ∣x−6∣≥5?
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Answer

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Step 1
I'll solve this absolute value inequality step by step:

Step 2
: Understand the Inequality

The inequality $$\left|x-6\right| \geq 5$$ means the distance between x and 6 on a number line is greater than or equal to 5.

Final Answer

The solution set is all real numbers less than or equal to 1, or greater than or equal to 11, which can be written as x \in (-\infty, 1] \cup [11, \infty).