Question

СРОЧНО ДОПОМОЖІТЬ РОЗВ'ЯЗАТИ 2x-10/x+4 > 0

Answer 1

Ответ:

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.