Solving Fraction Function Homework: (x+1)/(x+6) >or= 0

In summary, to solve a fraction function, you need to find the values of the variable that make the function true. The ">/=" symbol in a fraction function means "greater than or equal to," and the function (x+1)/(x+6) >or= 0 represents an inequality with a range of possible solutions. You can use a calculator to solve this function, but it's important to understand the steps involved and use a calculator that can handle inequalities and fractions. To check if your solution is correct, you can plug in the value of the variable or graph the function.
  • #1
shoook
23
0

Homework Statement



Solve: (x+1)/(x+6) >or= 0



Homework Equations





The Attempt at a Solution



Don't know where to even start.
 
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  • #2
List all of the x values where the numerator and denominator of the left hand side can change signs. Quick!
 
  • #3
x=-1 x=-6 ?
 
  • #4
Great! So if x<-6 what's the sign? If -6<x<-1, what's the sign? If x>-1, what's the sign? You only have three cases. Since it's >or=, you should think about x=-1 and -6 as well.
 

Related to Solving Fraction Function Homework: (x+1)/(x+6) >or= 0

1. How do I solve a fraction function?

To solve a fraction function, you need to find the values of the variable that make the function true. In this case, the function is (x+1)/(x+6) >or= 0. To solve it, you will need to factor the numerator and denominator, set each factor equal to zero, and then solve for the variable. The values of the variable that make the function true are the solutions.

2. What does the ">/=" symbol mean in a fraction function?

The ">/=" symbol means "greater than or equal to." In this fraction function, it is indicating that the variable must be greater than or equal to the value of the function to make it true.

3. What is the significance of the fraction function (x+1)/(x+6) >or= 0?

This fraction function represents an inequality, which means it has a range of possible solutions rather than a single value. It is significant because it allows us to find a range of values for the variable that will make the function true.

4. Can I use a calculator to solve this fraction function?

Yes, you can use a calculator to solve this fraction function. However, it is important to understand the steps involved in solving it manually before using a calculator. Also, make sure to use a calculator that can handle inequalities and fractions.

5. How can I check if my solution to the fraction function is correct?

To check if your solution to the fraction function is correct, you can plug in the value of the variable into the original function and see if it makes the function true. You can also graph the function and see if the solution falls within the shaded region (if there is one).

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