which inequality is equivalent to |x - 4| < 9?\n-9 > x - 4 < 9\n-9 < x - 4 < 9\nx - 4 < -9 or x - 4 < 9\nx…
which inequality is equivalent to |x - 4| < 9?\n-9 > x - 4 < 9\n-9 < x - 4 < 9\nx - 4 < -9 or x - 4 < 9\nx - 4 > -9 or x - 4 < 9
Answer
Explanation:
Step1: Recall absolute - value inequality rule
For (|a|\lt b) where (b > 0), it is equivalent to (-b\lt a\lt b). In the given inequality (|x - 4|\lt9), let (a=x - 4) and (b = 9).
Step2: Apply the rule
We get (-9\lt x - 4\lt9).
Answer:
(-9\lt x - 4\lt9) (the second option)