You can put this solution on YOUR website! (1/x) - 8 > 7
add 8 to both sides to get:
(1/x) > 15
multiply both sides by x to get:
1 > 15*x
divide both sides by 15 to get:
1/15 > x
which is the same as x < 1/15
-----
in interval notation this would be:
(- ,(1/15))
what this is saying is that minus infinity is smaller than x is smaller than (1/15).
-----
you needed to solve for x in order to get this equation into interval form.
once you did that, it was only a question of applying interval notation to it.
the basics of interval notation are:
[a,b] means a is smaller than or equal to x is smaller than or equal to b
(a,b) means a is smaller than x is smaller than b
(-,b) means that minus infinity is smaller than x is smaller than b which can be translated to x is smaller than b.
(-,b] means that minus infinity is smaller than x is smaller than or equal to be which can be translated to x is smaller than or equal to b.
(a,) means that a is smaller than x is smaller than infinity. this can be translated to x is greater than a.
[a,) means that a is smaller than or equal to x is smaller than infinity. this can be translated to x is greater than or equal to a.
-----
you can never be greater than or equal to minus infinity nor can you be smaller than or equal to infinity. you can only be greater than minus infinity or you can be smaller than infinity.
-----
