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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-3)(x-4)
It is a simple quadratic function.
First, draw the graph of f(x).
You will see, b/w 3 & 4, graph will lie below the x-axis.
And the graph of |f(x)| will lie above x-axis b/w 3 & 4.
And over the rest region, graph of f(x) & |f(x)| will overlap.
So, the final solution is
3 < x < 4

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