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

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.Com

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) (Show Source): You can put this solution on YOUR website!
Simple reason: you CANNOT divide by zero. If , then the denominator which is a violation of this rule. So that's why 3 was excluded from the solution set.
RELATED QUESTIONS
I am working on solving inequalities and then writing them in interval notation. I am... (answered by rothauserc)

For {{{f(x) = 2/(x-3)}}} , solve for the domain and range in interval notation I found (answered by josgarithmetic)

I have been asked to find the domain of these two functions: f(x)=x^2/x^2-2 and... (answered by stanbon)

For {{{f(x) = 2/(x-3)}}} , solve for the domain and range in interval notation I found (answered by jim_thompson5910)

if I have to find the interval notation of (x-2)/(x+1)<=0 is it (- infinity, -1) U (2,... (answered by user_dude2008)

Solve each inequality. graph its solution, and write the solution in set notation.... (answered by jim_thompson5910)

If I have x(x+2)(x-5) would i really need to solve it to find the interval notation?... (answered by edjones)

Find the domain? K(x) = x-2/x-3 - write the answer in interval notation.. now on... (answered by jim_thompson5910)

I need help in finding the domain of {{{(x-1)/(sqrt(x^2+5x-14))}}}. This is what I... (answered by Edwin McCravy)