Answer:
[tex]2x+2\geq 0[/tex]
Step-by-step explanation:
Given:
The given inequality is.
[tex]3+\frac{4}{x} \geq \frac{x+2}{x}[/tex]
Solution:
Simplify the given expression.
[tex]3+\frac{4}{x} \geq \frac{x+2}{x}[/tex]
Multiply by x both side of the equation.
[tex]x(3+\frac{4}{x}) \geq x(\frac{x+2}{x})[/tex]
Simplify.
[tex]3x+\frac{4x}{x} \geq x(\frac{x+2}{x})[/tex]
[tex]3x+4\geq x+2[/tex]
Rewrite the equation as.
[tex]3x+4-x-2\geq 0[/tex]
[tex]2x+2\geq 0[/tex]
Therefore, [tex]2x+2\geq 0[/tex] is the simplest form of the given expression.
