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About Scotto
Expertise
Any kind of mathematics (algebra, geometry, trigonometry, matrices, calculus, linear approximation, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics, Chemistry, and Biology. I would like to volunteer in all areas of Mathematics, not just calculus, and the other three courses that were mentioned.
Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
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You are here: Experts > Teens > Homework/Study Tips > Calculus > Inequalities
Expert: Scotto
Date: 7/13/2008
Subject: Inequalities
Question
1) f(x)= (2x-3)/(x-5)
What is modulusf(x)modules > (or equal to) 3/2.
I have found the answer of f(x) > (or equal to) 3/2 to be x< (or equal to) -9 or x> 5 and am sure this is correct. However, I am not sure how to solve the qn above.
2) Given a,b are positive constants and a<b, solve for x:
(x-b)/(x-a) > (x-b)/b
Thanks for the help sir :)
Answer
For future references, ≥ is alt-242 and ≤ is alt-243.
1) I'm not sure what modulusf(x)modules are.
2) Note that the answer needs x=a generates an error. IN the langues C, this is referred to as x!=a (x is not equal to a).
The (x-b) can be cancelled of each side.
Inverting, this leaves x-a≥b, or x≥a+b.
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