SOLUTION: RATIONAL INEQUALITIES Solve for x: (𝑥−1)/(𝑥+3)> 0 2. Solve for x: (1/𝑥)<[1/(𝑥−3)]

Algebra ->  Rational-functions -> SOLUTION: RATIONAL INEQUALITIES Solve for x: (𝑥−1)/(𝑥+3)> 0 2. Solve for x: (1/𝑥)<[1/(𝑥−3)]      Log On


   

Question 1187246: RATIONAL INEQUALITIES
Solve for x:
(𝑥−1)/(𝑥+3)> 0
2. Solve for x:
(1/𝑥)<[1/(𝑥−3)]
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
%28x-1%29%2F%28x%2B3%29%3E+0

Solutions:

x-1%3E+0->x%3E1
%28x%2B3%29%3E+0->x%3C-3

Interval notation:
(-infinity, -3) U (1,infinity)


2. Solve for x:

1%2Fx%3C1%2F%28x-3%29

left side, denominator +x%3C%3E0, then +1%2Fx%3C0
right side, %28x-3%29%3E0->x%3E3

Interval notation:
(-infinity, 0) U (3,infinity)