Question

(x-3) (x-7) (x-12)<0 find wavy curve method​

Answer 1

Given :  (x-3) (x-7) (x-12)<0  

To find : Solve inequalities

Solution:

(x-3) (x-7) (x-12)<0

zeroes  3 , 7 , 12

interval

x < 3  

3 < x  < 7  

7 < x  < 12

x  > 12

x < 3

=> (-)(-)(-) = -  < 0

3 < x  < 7  

(+)(-)(-) = +  > 0

7 < x  < 12

(+)(+)(-) = -   < 0

x > 12

(+)(+)(+)  = +  > 0

x < 3   &  7 < x  < 12  

x = ( - ∞ , 3) ∪ ( 7 , 12 )

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