Question

solve for c and graph the solution.

c - 18 > -6 or -3c - 7 > 11

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.

<---(-6)---(-4)---(-2)---(0)---(2)---(4)---(6)---(8)---(10)---(12)--->

Explanation:

Step1: Solve \( c - 18 > -6 \)

Add 18 to both sides: \( c - 18 + 18 > -6 + 18 \)
Simplify: \( c > 12 \)

Step2: Solve \( -3c - 7 > 11 \)

Add 7 to both sides: \( -3c - 7 + 7 > 11 + 7 \)
Simplify: \( -3c > 18 \)
Divide by -3 (reverse inequality): \( c < -6 \)

Answer:

The solution is \( c > 12 \) or \( c < -6 \). For graphing, plot open circles at 12 (arrow right) and -6 (arrow left) on the number line.