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

Question

asked Feb 22, 2021 187k views

1 Answer

Ronn Wilder · Answer 1 · 2021-03-01T06:19:40+0000

Answer:

$2x+2\geq 0$

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.