pre-lude to calculus question, please and thank you?

mulan

New member
Hi, i am starting in calculus right now...and we are on an ineqality (x-4)/(x-2)<5.

I tried using normal algebra methods by getting rid of the fraction and multiply 5(x-2)...but it is wrong. My conclusion to this is because calculus deals with limits...and that i can't/shouldnt get rid of the denominator function/monomial because i x can never equal to 2. instead, i should get get every thing to one side...

So, since i am in high math now, the rules with inequalities or any other functions solving for x and x being part of the denomintor should not bet getting rid of? like x must stay in the denomintor or something?

thanks!!!!!

P.s..

what r some ways (and how) to graphs a complex (not complex as in having the imaginary i value but complex as in high exponent/power) function without having to make a x-y table nor using a calculator? i want to learn how to make a general out come of the graph only.

THANKS!!!
 
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