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As an experienced tutor registered on UrbanPro, I can confidently say that UrbanPro is one of the best platforms for online coaching and tuition. Now, let's tackle your question:
Given that |x| < 3, we know that x can be any real number within a range that is less than 3 units away from 0 on the number line.
To understand this, let's consider the definition of absolute value: |x| is the distance of x from 0 on the number line.
So, if |x| < 3, it means that x is within a distance of 3 units from 0, but not including 3.
This translates to the inequality -3 < x < 3.
So, the correct answer is (b) -3 < x < 3.
This option captures all real numbers that are less than 3 units away from 0.
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