$\left|\dfrac{x}{2} - 1\right|<3$ implies that $x$ lies in the interval
Show Hint
- $(-4, 8)$
- $(-3, 6)$
- $(-4, 6)$
- $(-3, 8)$
The Correct Option is A
Solution and Explanation
$|A|<B \Rightarrow -B<A<B$.
Step 2: Detailed Explanation:
$-3<\dfrac{x}{2} - 1<3 \Rightarrow -2<\dfrac{x}{2}<4 \Rightarrow -4<x<8$.
Step 3: Final Answer:
$x \in (-4, 8)$.
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