Inequality how does this make sense?

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    Inequality
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SUMMARY

The discussion centers on solving the inequality (x-1)(x-2)<0, which represents a quadratic function. The correct solution is identified as the interval 1 PREREQUISITES

  • Understanding of quadratic inequalities
  • Graphical interpretation of parabolas
  • Knowledge of interval notation
  • Familiarity with solving inequalities
NEXT STEPS
  • Study quadratic functions and their properties
  • Learn about graphical methods for solving inequalities
  • Explore interval notation and its applications
  • Review common mistakes in solving inequalities
USEFUL FOR

Students studying algebra, educators teaching quadratic inequalities, and anyone seeking clarification on solving inequalities graphically.

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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