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Объяснение:
To solve this inequality, first rearrange the equation to get an expression of the form ax + b > 0.
2x - 10/x + 4 > 0
2x + 4 > 10/x
x(2x + 4) > 10
x2 + 4x - 10 > 0
Now, factor the expression:
(x + 5)(x - 2) > 0
Since the product of two numbers is positive if either one of them is positive and negative if either one of them is negative, the expression is true when either x + 5 > 0 or x - 2 > 0.
x + 5 > 0
x > -5
x - 2 > 0
x > 2
Therefore, the solution set is x > 2 and x > -5.
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