SOLUTION: Solve for x, in interval notation: x^2-3/x-3 > or = 1/x-3. I came up with [-2,2]U[3,infinity). The quiz said it should be [-2,2]U(3,infinity). I think the book is wrong. If not, w

Algebra ->  Average -> SOLUTION: Solve for x, in interval notation: x^2-3/x-3 > or = 1/x-3. I came up with [-2,2]U[3,infinity). The quiz said it should be [-2,2]U(3,infinity). I think the book is wrong. If not, w      Log On


   



Question 268087: Solve for x, in interval notation: x^2-3/x-3 > or = 1/x-3. I came up with [-2,2]U[3,infinity). The quiz said it should be [-2,2]U(3,infinity). I think the book is wrong. If not, why wouldn't 3 be the = part?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simple reason: you CANNOT divide by zero. If x=3, then the denominator x-3=3-3=0 which is a violation of this rule. So that's why 3 was excluded from the solution set.