Question

How to get everything to one side of the inequality for 3+4/x>=(x+2)/x

Answer 1

Answer:

$2x+2\geq 0$

Step-by-step explanation:

Given:

The given inequality is.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Solution:

Simplify the given expression.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Multiply by x both side of the equation.

$x(3+\frac{4}{x}) \geq x(\frac{x+2}{x})$

Simplify.

$3x+\frac{4x}{x} \geq x(\frac{x+2}{x})$

$3x+4\geq x+2$

Rewrite the equation as.

$3x+4-x-2\geq 0$

$2x+2\geq 0$

Therefore, $2x+2\geq 0$ is the simplest form of the given expression.