Question 1026703
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As the problem is given, 800 < d < 2200
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a) |d+800|<2200
...d+800<2200 and -(d+800)<2200
...d<1400 and -d-800<2200
...d<1400 and -d<3000
...d<1400 and d>-3000 
...-3000 < d < 1400 
Does not match given.
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b) |d-800|<2200
...d-800<2200 and -(d-800)<2200
...d<3000 and -d+800<2200
...d<3000 and -d<1400
... d<3000 and d>-1400
...-1400 < d < 3000
Does not match given.
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c) |d+1500|<700
...d+1500<700 and -(d+1500)<700
...d<-800 and -d-1500<700
...d<-800 and -d<2200
...d<-800 and d>-2200 
...-2200 < d < -800
Does not match given.
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d) |d-1500|<700
...d-1500<700 and -(d-1500)<700
...d<2200 and -d+1500<700
...d<2200 and -d<-800
...d<2200 and d>800
...800 < d < 2200
This matches the given information.
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ANSWER: Choice (d).
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