Question 864876
(x - 7)/(x + 6) > 0
------------------------
Draw a number line.
Plot x = 7 and x = -6
Those are values x cannot take.
----
Test a value in each of the three intervals formed on the # line.
----
(x-7)/(x+6) > 0
Test x = -10 to get -/- > 0 ; that is true
----
Test x = 0 to get +/- > 0 ; that is false
----
Test x = 10 to get +/+ > 0 ; that is true
-----
Ans: (-oo,-6)U(7,+oo)
------------------------
Cheers,
Stan H.
------------------------