Question

directions:use this information to answer parts a and b.
-8c + 13 ≥ 47
part a
solve the inequality by entering the correct answer in the box.
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Explanation:

Step1: Subtract 13 from both sides

To isolate the term with \( c \), we subtract 13 from both sides of the inequality \(-8c + 13 \geq 47\). This gives us \(-8c + 13 - 13 \geq 47 - 13\), which simplifies to \(-8c \geq 34\).

Step2: Divide by -8 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. So, we divide both sides of \(-8c \geq 34\) by \(-8\). This gives \( c \leq \frac{34}{-8} \), which simplifies to \( c \leq -\frac{17}{4} \) (or \( c \leq -4.25 \)).

Answer:

\( c \leq -\frac{17}{4} \) (or \( c \leq -4.25 \))