Answer :
The inequality expression 2x³ - 3x² - 32x + 48 > 0 has a solution of x >3/2 or x > -4 or x > 4
Evaluating the inequality expression
From the question, we have the following parameters that can be used in our computation:
2x³ - 3x² - 32x + 48 > 0
When the above expression is factored, we have
2x³ - 3x² - 32x + 48 = (2x - 3)(x + 4)(x - 4)
So, we have the following
(2x - 3)(x + 4)(x - 4) > 0
Expanding the expression we have
2x - 3 > 0 or x + 4 > 0 or x - 4 > 0
When the values of x is solved, we have
x >3/2 or x > -4 or x > 4
Hence, the inequality expression has a solution of x >3/2 or x > -4 or x > 4
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