Solve 54.5ngeq-25.2+42.5n

$$54.5 n \geq - 25.2 + 42.5 n$$

Solve for n

$$n\geq -\frac{21}{10}$$

Solution Steps

Subtract 42.5n from both sides.

$$54.5n-42.5n\geq -25.2$$

Combine 54.5n and -42.5n to get 12n.

$$12n\geq -25.2$$

Divide both sides by 12. Since 12 is positive, the inequality direction remains the same.

$$n\geq \frac{-25.2}{12}$$

Expand \frac{-25.2}{12} by multiplying both numerator and the denominator by 10.

$$n\geq \frac{-252}{120}$$

Reduce the fraction \frac{-252}{120} to lowest terms by extracting and canceling out 12.

$$n\geq -\frac{21}{10}$$