Question

solve for c. reduce any fractions to lowest terms. dont round your answer, and mixed fractions. 55c + 13 ≤ 75c + 39

Explanation:

Step1: Subtract 55c from both sides

To isolate the terms with \( c \), we subtract \( 55c \) from both sides of the inequality \( 55c + 13 \leq 75c + 39 \). This gives us \( 13 \leq 20c + 39 \).

Step2: Subtract 39 from both sides

Next, we subtract 39 from both sides to get the constant terms on one side. So, \( 13 - 39 \leq 20c \), which simplifies to \( -26 \leq 20c \).

Step3: Divide both sides by 20

Now, we divide both sides by 20 to solve for \( c \). This gives \( \frac{-26}{20} \leq c \). Simplifying the fraction \( \frac{-26}{20} \) by dividing numerator and denominator by 2, we get \( \frac{-13}{10} \leq c \), or \( c \geq -\frac{13}{10} \).

Answer:

\( c \geq -\frac{13}{10} \)