Which inequality is equivalent to 3 plus 4 over x is greater than or equal to the fraction with numerator x plus 2 and denominator x ?

Subtract (x + 2)/x from both sides: 3 + 4/x − (x + 2)/x ≥ 0. Combine the fractions and write 3 as 3x/x, giving (3x + 4 − x − 2)/x = (2x + 2)/x ≥ 0, with x ≠ 0. This matches choice D, the fraction with numerator 2x + 2 and denominator x.

AI-written and checked against the verified answer.