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$Solve for c. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 55 c+13 <= 75 c+39$

Solve for $c$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $55c + 13 \leq 75c + 39$

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Solve multi-step inequalities

Full solution

Q. Solve for

c

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

\newline

55c + 13 \leq 75c + 39

Isolate variable c: Isolate the variable c on one side of the inequality. $\newline$ $55c + 13 \leq 75c + 39$ $\newline$ Subtract $55c$ from both sides to move all terms with c to one side. $\newline$ $55c + 13 - 55c \leq 75c + 39 - 55c$
Simplify inequality: Simplify both sides of the inequality. $\newline$ $13 \leq 20c + 39$ $\newline$ Subtract $39$ from both sides to isolate the term with $c$ . $\newline$ $13 - 39 \leq 20c + 39 - 39$
Subtract to isolate term with $c$ : Perform the subtraction on both sides. $\newline$ $-26 \leq 20c$ $\newline$ Divide both sides by $20$ to solve for $c$ . $\newline$ $-\frac{26}{20} \leq \frac{20c}{20}$
Perform subtraction: Simplify the inequality by performing the division. $\newline$ $-\frac{13}{10} \leq c$ $\newline$ This is the final answer in reduced fraction form.

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