Question

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

Answer 1

`2x+2\geq 0`

Explanation:

Given:

The given inequality is.

`3+(4)/(x) \geq (x+2)/(x)`

Solution:

Simplify the given expression.

`3+(4)/(x) \geq (x+2)/(x)`

Multiply by x both side of the equation.

`x(3+(4)/(x)) \geq x((x+2)/(x))`

Simplify.

`3x+(4x)/(x) \geq x((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.