SOLUTION: Professor I'm confused with this inequality problem. /x-2/≤0. The answer would be contradiction right, 0?? Thank you for your time. my problem would be /x-2/=o or -/x-2/=0 s

Algebra ->  Inequalities -> SOLUTION: Professor I'm confused with this inequality problem. /x-2/≤0. The answer would be contradiction right, 0?? Thank you for your time. my problem would be /x-2/=o or -/x-2/=0 s      Log On


   

Question 649576: Professor I'm confused with this inequality problem. /x-2/≤0. The answer would be contradiction right, 0?? Thank you for your time.
my problem would be /x-2/=o or -/x-2/=0 so either way the answer would be 2. when i plug the 2 it would be 0 to 0 which 0 is not less than or equal to 0 so my answer would be no solution correct?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


What ever possessed you to say that 0 is not less than or equal to 0? Less than OR equal means exactly what it says, one quantity is smaller than the other OR the two quantities are the same. Since zero is equal to zero, zero is less than or equal to zero.

Furthermore, CANNOT be written as or

Rather you can write it as AND which is to say AND

The only way that can simultaneously be less than OR equal to 2 AND greater than OR equal to 2 is if . Just like I said when I answered this question the first time.

John

My calculator said it, I believe it, that settles it
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