Which inequality is equivalent to 3+4/x> =x+2/x

The first alternative is correct

Step-by-step explanation:

We move all the expressions to the left hand side of the inequality then combine like terms using lcm;

the first one

Step-by-step explanation:

Express the left side as a single fraction

3 +

= , hence

≥

Subtract from both sides

0 ≥ -

0 ≥

Multiply both sides by - 1, remembering to reverse the inequality symbol as a consequence

0 ≤ , hence

≥ 0

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.