SOLUTION: x > 3x - - - -2 4

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Question 80568This question is from textbook mathnthematics
: x > 3x
- - -
-2 4
This question is from textbook mathnthematics

Answer by mathdoc314(58) About Me  (Show Source):
You can put this solution on YOUR website!
One thing that looks funny here is you put a - under the >
so I guess you mean (greater than or equal to) which I usually
type like this: >= when I am on a computer.
+x+%2F+%28-2%29+%3E=++3x+%2F+4+
It is going to be helpful here to gather all the x on one side of the equation, and then it will be easy - it will come out as +x%3E=0+ or +x+%3C+0+ but you'll have to be sure you do the steps right
The easiest thing here is : add +x%2F2+ to each side
+x%2F%28-2%29+%2B+%28x%2F2%29+%3E=+3x%2F4+%2B+x%2F2+
On the right side the common demoninator is 4. The x/2 is equal to 2x/4.
+0+%3E=+3x%2F4+%2B+2x%2F4+
+0+%3E=+5x+%2F+4+
Now you multiply both sides by 5/4
+0+%2A+5%2F4+%3E=+5x%2F4+%2A+5%2F4+
+0+%3E=+x+
Just as I thought The inequality is true for any +x+%3C+0+ and you can check by trying +x+=+-4+ to see if it comes out true:
+-4%2F-2+%3E=+3%2A%28-4%29+%2F+4+
+2+%3E=+-3+