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24 Jun 2013, 21:55
Kudos
Bookmarks
Responding to a pm:
When dealing with inequalities, it matters whether the variable is positive or negative.
If variable is positive, you can cross multiply the way you usually do.
If variable is negative, you need to flip the sign when you cross multiply.
4/k >= -2/3
You will take 2 cases:
CAse 1: k > 0 (k is positive)
4/k >= -2/3
4 >= -2k/3
k >= - 6
Since k must be positive, hence this is true for all k > 0
Case 2: k < 0 (k is negative)
4/k >= -2/3
4 <= -2k/3
k <= -6
So you get two ranges k < -6 OR k > 0
Quote:
When dealing with inequalities, it matters whether the variable is positive or negative.
If variable is positive, you can cross multiply the way you usually do.
If variable is negative, you need to flip the sign when you cross multiply.
4/k >= -2/3
You will take 2 cases:
CAse 1: k > 0 (k is positive)
4/k >= -2/3
4 >= -2k/3
k >= - 6
Since k must be positive, hence this is true for all k > 0
Case 2: k < 0 (k is negative)
4/k >= -2/3
4 <= -2k/3
k <= -6
So you get two ranges k < -6 OR k > 0
Archived Topic
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01 Oct 2017, 06:32
Kudos
Bookmarks
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
