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in Linear Inequations by (23.5k points)
closed by

If |x – 4| < 9, then

(a) |x| < 13 

(b) |x – 13| < 0 

(c) – 5 < x < 13 

(d) – 13 < x < 13

1 Answer

+1 vote
by (24.0k points)
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Best answer

(c)  –5 < \(x\) < 13

|x – 4| < 9 ⇒ – 9 < x – 4 < 9 

⇒ – 9 + 4 < \(x\) < 9 + 4 ⇒ –5 < \(x\) < 13.

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