Lesson: Inequalities - Part I

Comment on Inequalities - Part I

I solved it in another way and the result is slightly different.

5(1-2x)+7x > 4-x+9+2x

5-3x > 13+x
-2x > 8
x < -4

Is it right also? Why does this difference occur?
greenlight-admin's picture

I'm not sure what "it" refers to (as in "I solved IT in another way and the result is slightly different.") Are you referring to a specific practice question or example?

That said, the third step in your solution is incorrect.

Take: 5 - 3x > 13 + x
Subtract x from both sides to get: 5 - 4x > 13
Subtract 5 from both sides to get: -4x > 8
Divide both sides by -4 to get: x < -2


Hello Brent,

For the following question, when i try to solve by isolating variables to one side, I end up having 1 (in Qty A) and 2y-x in (QTY B). 2y can be maximum when y=1/2. As 1-x will result in a value less than 1, I got result as A.

However, the response given by Sandy also seems valid (That the solution is D). Am I missing anything in my calculation ? Can you please help me ?


Thanks :)
greenlight-admin's picture

Question link: http://greprepclub.com/forum/given-that-0-x-y-1806.html

Your statement that "2y can be maximum when y = 1/2" is incorrect.

All we know about y is that it's greater than both 0 and x, AND it's less than 1. So, y could be something like 0.9 or even 0.99999

Got my mistake. Thanks (y)

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