Can someone please EXPLAIN to me how to do this problem??

Question

the distance to the sun from the nine planets ranges from 57.9 million kilometers to 5900 million kilometers. Write and absolute value inequality that describes the possible distances from a planet to the sun.

Answer 1

Let x: be the distance from a planet to the sun.

We have::

the distance to the sun from the nine planets is in between 57.9 million km adn 5900 million km.  Or, we can write as:

  57.9 million kilometers <  x  < 5900 million kilometers  

Answer 2

So the distance that a planet is is between 57.9 and 5900 million kilometers..  Think about it this way

57.9           X                     5900

Where x is your planet.  So x is less than 5900 and greater than 57.9, so it is 57.9 >x < 5900