Question 82731
 am unsure how to work this problem to solve it. 


{{{1/(t-5) < 3/(t+5)}}}  multiply both sides by (t-5)(t+5) to get rid of fractions


{{{(1(t-5)(t+5))/(t-5)<(3(t-5)(t+5))/(t+5)}}}  simplify

{{{(t+5)<3(t-5)}}}  get rid of parens

{{{t+5<3t-15}}}  subtract 5 and also 3t from both sides

{{{t+5-5-3t<3t-3t-15-5}}} collect like terms

{{{-2t<-20}}}  divide both sides by -2 (remember the inequality sign will reverse)

{{{t>10}}}



Hope this helps---ptaylor