3 years ago

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

Mathematics

1 answer:

Illusion [34]3 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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Solve the inequality x^3+4x>5x^2 please show steps and interval notation. thank you.​

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