SOLUTION: 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.

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).
.

RELATED QUESTIONS
A.) the surface temperature of the sun is 9.6 x 10^3 degrees fahrenheit. the core... (answered by Alan3354)
Hello!! I hope u had a Merry Christmas and A Happy New Year!! I really need help with... (answered by uma)
The core of a cast iron piece has the shape of a spherical segment of two bases. The... (answered by math_tutor2020,ikleyn)
There is a desktop computer with 72 process cores. suppose the probability that a given... (answered by ikleyn)
Earth has a thin outer layer called the crust, which averages about 24 km thick. Earth's... (answered by Alan3354)
Hi. I have a roll of clear plastic pallet wrapping film with the following criteria : (answered by Alan3354)
The perimeter of a figure is the sum of the lengths of its sides. A circular fish pond... (answered by rothauserc)
A cylindrical mettalic pipe is 21cm long.The difference between outside and inside... (answered by josmiceli)
A hunter is saw a bird on the tree. He used his range finder to determine the distance.... (answered by jsmallt9)