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solve the inequalities

solve the inequalities
 

Question Image
Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
6 years ago
Ans:
|x^{2}-7x+12| > x^{2} - 7x + 12
|(x-3)(x-4)| > (x-3)(x-4)
f(x) = x^{2} - 7x + 12
It is a simple quadratic function with root 3 & 4.
Simply draw the graph of f(x)
f(x) < 0 for 3 < x < 4
And similarly draw the graph of |f(x)|
|f(x)| > 0 for 3 < x < 4
And in the region x < 3 & x > 4
f(x) = |f(x)|
Solution:
3 < x < 4

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