SOLUTION: Solve the inequality, graph the solution set on the real number line, and then write the solution in interval notation. {{{ (x-5)/(x+1) < (x+2)/(x-3) }}}

Algebra ->  Inequalities -> SOLUTION: Solve the inequality, graph the solution set on the real number line, and then write the solution in interval notation. {{{ (x-5)/(x+1) < (x+2)/(x-3) }}}      Log On


   



Question 470671: Solve the inequality, graph the solution set on the real number line, and then write the solution in interval notation.
+%28x-5%29%2F%28x%2B1%29+%3C+%28x%2B2%29%2F%28x-3%29+

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
(thanks for writing it correctly)
cross multiply
+%28x-5%29%28x-3%29+%3C+%28x%2B1%29%28x%2B2%29+
+%28x%5E2-8x%2B15%29+%3C+%28x%5E2%2B3x%2B2%29+ move x's to one side everything else to the other
+%2813%29+%3C+%2811x%29+ divide both sides by 11
+%2813%2F11%29+%3C+x+