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Answer:
(-∞ , -3/2)∪(3 , +∞)
Explanation:
Here we have to solve this inequality 2x² - 3x - 9 > 0 for x.
In order to solve this inequality we need to factorize the expression at first:
2x² - 3x - 9 = 2x² - 3x - 3x + 3x - 9
= 2x² + 3x - (6x + 9)
= x(2x + 3) - 3(2x + 3)
= (2x + 3)(x - 3)
check the attached picture
conclusion:
the set of values of x for which y>9 is :
(-∞ , -3/2)∪(3 , +∞)
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