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Question 1026703: The earth is made up of four primary layers: the inner core, outer core,mantle and crust.
The outer core is more than 800 miles and less than 2200 miles from the Earth´s center.
Which of the following inequalities represents all possible distances ,¨d¨, in miles, from the Earth´s center
that are in the outer core?
a) |d+800|<2200
b) |d-800|<2200
c) |d+1500|<700
d) |d-1500|<700
Found 2 solutions by ikleyn, macston:
Answer by ikleyn(52915)   (Show Source):
You can put this solution on YOUR website! .
The earth is made up of four primary layers: the inner core, outer core,mantle and crust.
The outer core is more than 800 miles and less than 2200 miles from the Earth´s center.
Which of the following inequalities represents all possible distances ,¨d¨, in miles, from the Earth´s center
that are in the outer core?
a) |d+800|<2200
b) |d-800|<2200
c) |d+1500|<700
d) |d-1500|<700
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Option d).
Answer by macston(5194)  (Show Source):
You can put this solution on YOUR website! .
As the problem is given, 800 < d < 2200
.
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.
.
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.
.
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.
.
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.
.
ANSWER: Choice (d).
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