SOLUTION: Solve the nonlinear inequality. Express the solution using interval notation. x − 3/x + 1 ≥ 0

Algebra.Com
Question 985341: Solve the nonlinear inequality. Express the solution using interval notation.
x − 3/x + 1 ≥ 0
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!



Now find the zeros for the equality
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=13 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.30277563773199, -2.30277563773199. Here's your graph:


Using the graph above, you see that when x is less than or equal to -2.3 or greater than equal t0 1.3 , the equation is satisfied
RELATED QUESTIONS

Solve the nonlinear inequality. Express the solution using interval notation. (x + 4)(x (answered by ewatrrr)
Someone please could help me with that? Solve the nonlinear inequality. Express the... (answered by stanbon,MathLover1)
Solve the nonlinear inequality. Express the solution using interval notation. (x + 5)(x... (answered by josgarithmetic)
Solve the rational inequality (x-2)/(x+3) ≥ 0. Express your answer using interval (answered by josgarithmetic)
Solve the nonlinear inequality. Express the solution using interval notation. x^8 > x^6 (answered by stanbon)
May I have some help with this inequality? Solve the nonlinear inequality. Express the (answered by MathLover1)
20/x+1 - x/2 +1 is less than or equal to 0 Solve the nonlinear inequality. Express... (answered by MathTherapy)
1 + 12/x+1 - 12/x less than or equal to 0 Solve the nonlinear inequality. Express... (answered by MathTherapy)
Express the solution to the following inequality using interval notation. x^2 + 7x - 18... (answered by tommyt3rd)