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Ansley Woodward
Mathematics
11 April, 00:48
Which inequality is equivalent to |X-41<9?
0 - 9 > x-4<9
09 O X - 4<-9 or x - 4< 9
O x-4> - 9 or x - 4<9
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Brianna
11 April, 01:02
0
x - 4 > - 9 or x - 4 < 9
Step-by-step explanation:
Let's see the definition of absolute value inequality.
i) If lxl < b, then - b < x < b
ii) If lxl > b, then x > b or x < - b
We are given the inequality lx - 4l<9
Here we have to use the first case.
Using the above definition of inequality, we can write the given inequality as follows:
-9 < (x - 4) < 9
So the third option is correct.
x - 4 > - 9 or x - 4 < 9
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» Which inequality is equivalent to |X-41<9? 0 - 9 > x-4<9 09 O X - 4<-9 or x - 4< 9 O x-4> - 9 or x - 4<9
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