Inequality how does this make sense?

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The discussion centers on solving the inequality (x-1)(x-2)<0, which is identified as a parabola that intersects the x-axis at points 1 and 2. The correct solution is determined to be 1<x<2, indicating the values of x for which the inequality holds true. A textbook answer suggests a different range, (1/√5)/2<x<(1+√5)/2, leading to confusion. Participants confirm that the initial solution of 1<x<2 is indeed correct, dismissing the textbook's answer as incorrect. The conversation highlights the importance of verifying solutions in mathematical problems.
sg001
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inequality... how does this make sense??

Homework Statement



Solve (x-1)(x-2)<0



Homework Equations





The Attempt at a Solution



Given this is a parabola
graphical solution
cuts the x-axis at 1 & 2
therefore sltn...
1<x<2

However, in my textbook the answer says (1/√5)/2<x<(1+√5)/2
Can someone please confirm this is the wrong answer
Or AM I MISSING SOMETHING HUGE HERE??
 
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Your solution is correct.

ehild
 


thanks!
 

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