Solving Rational Inequalities

[Seaweed09]

Solve this inequality: (t-2)(t+3)/(t-4)>=0.
I did it using a factor table, and I got the results -3<=x<=2 and x>=4, but the answer says it should be x>4 instead, and I am not sure how they go that. Thanks in advance!

[little_dragon]

Solve this inequality: (t-2)(t+3)/(t-4)>=0.
I did it using a factor table, and I got the results -3<=x<=2 and x>=4, but the answer says it should be x>4 instead, and I am not sure how they go that. Thanks in advance!

U cant divide by 0!
if t=4 then t-4=0

[Seaweed09]

Thanks!