Please post your solution.Hello Tutors, I please request assistance with the following question:
View attachment 25312
I came up with the solution: x<7/4, but apparently this is incorrect. They gave me solutions in the format of a>x>b. I am confused as to how to get this format.
It looks like you probably multiplied both sides by x-2. You can't do that without taking into account whether x-2 is positive or negative. You can either use two cases in your work, or use a different traditional method for rational inequalities that starts with subtracting 5 from both sides, simplifies, and then considers the sign of the numerator and denominator.Hello Tutors, I please request assistance with the following question:
View attachment 25312
I came up with the solution: x<7/4, but apparently this is incorrect. They gave me solutions in the format of a>x>b. I am confused as to how to get this format.
My solution is: x<7/4, but this is incorrect.Please post your solution.
I am afraid I do not understand. Why do I subtract 5 from both sides?It looks like you probably multiplied both sides by x-2. You can't do that without taking into account whether x-2 is positive or negative. You can either use two cases in your work, or use a different traditional method for rational inequalities that starts with subtracting 5 from both sides, simplifies, and then considers the sign of the numerator and denominator.
x<7/4 is your answer, not solution. Please post your _work_.My solution is: x<7/4, but this is incorrect.
What have you been taught about solving rational inequalities? As I said, there are a couple ways to do it.I am afraid I do not understand. Why do I subtract 5 from both sides?
Please post your solution.
What have you been taught about solving rational inequalities? As I said, there are a couple ways to do it.
Here is what I am referring to:
Algebra - Rational Inequalities
We continue solving inequalities in this section. We now will solve inequalities that involve rational expressions, although as we’ll see the process here is pretty much identical to the process used when solving inequalities with polynomials.tutorial.math.lamar.edu
Your problem is like example 4; if you haven't been taught this method, you'll want to work through the whole page, and possibly the preceding section.
That shows two methods, with the same example; the second is similar to the case method I mentioned, but more like the other.
That shows the case method fully, followed by a short example of the interval method. If you carried out what I assume you did, correctly, you would need to use cases.
Hancko did write -4x, as you can see later. You're just misreading it.Your real problem is a simple arithmetic error! x- 5x is -4x, not -6x.