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$Solve for n. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 64 n-6 >= 36 n-16$

Solve for $n$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $64n - 6 \geq 36n - 16$

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Solve multi-step inequalities

Full solution

Q. Solve for

n

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

64n - 6 \geq 36n - 16

Isolate variable term: Isolate the variable term by subtracting $36n$ from both sides of the inequality. $\newline$ $64n - 6 - 36n \geq 36n - 16 - 36n$ $\newline$ $28n - 6 \geq -16$
Add to isolate term: Next, add $6$ to both sides of the inequality to isolate the term with the variable $n$ . $\newline$ $28n - 6 + 6 \geq -16 + 6$ $\newline$ $28n \geq -10$
Divide to solve for $n$ : Divide both sides of the inequality by $28$ to solve for $n$ . $\newline$ $\frac{$ $28$ n}{ $28$ } \geq \frac{ $-10$ }{ $28$ } $\newline$ $-10$ $- 10$ }{ $28$ }<="" math="">
Reduce fraction: Reduce the fraction $-\frac{10}{28}$ to its lowest terms. $\newline$ $-\frac{10}{28}$ can be simplified by dividing both the numerator and the denominator by $2$ . $\newline$ $n \geq -\frac{5}{14}$

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