Question

solve for c and graph the solution. c - 5 < -13 or (\frac{-5c + 2}{3} < 4) plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it. -8 -6 -4 -2 0 2 4 6 8

Explanation:

Step1: Solve \( c - 5 < -13 \)

Add 5 to both sides:
\( c - 5 + 5 < -13 + 5 \)
\( c < -8 \)

Step2: Solve \( \frac{-5c + 2}{3} < 4 \)

Multiply both sides by 3:
\( -5c + 2 < 12 \)
Subtract 2:
\( -5c < 10 \)
Divide by -5 (reverse inequality):
\( c > -2 \)

Step3: Combine solutions (OR)

The solution is \( c < -8 \) or \( c > -2 \).

Answer:

The solution to the compound inequality is \( c < -8 \) or \( c > -2 \). To graph:

• For \( c < -8 \): Draw an open circle at \( -8 \), shade left.
• For \( c > -2 \): Draw an open circle at \( -2 \), shade right.