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Kruka [31]
2 years ago
9

Solve the inequality x^3+4x>5x^2 please show steps and interval notation. thank you.​

Mathematics
1 answer:
Illusion [34]2 years ago
4 0

Answer: x\in (0,1)\cup (4,\infty)

Step-by-step explanation:

Given

In equality is x^3+4x>5x^2

Taking terms one side

\Rightarrow x^3-5x^2+4x>0\\\Rightarrow x(x^2-5x+4)>0\\\Rightarrow x(x^2-4x-x+4)>0\\\Rightarrow x(x-4)(x-1)>0\\\Rightarrow (x-0)(x-1)(x-4)>0

Using wavy curve method

x\in (0,1)\cup (4,\infty)

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