Question 122

If $$3x^2 - 5x - 8 < 0$$, then x lies in the interval

Solution
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we have given that 

$$3x^2 - 5x - 8 < 0$$,

now factorize  the equation we get 

$$3x^2 - 8x  + 3x  - 8 < 0$$

 $$3x^2 + 3x -  8x - 8 < 0$$ 

so we get 

(x + 1) (3x - 8) < 0

x = -1 , 8\3  answer 

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