Question

solve the inequality and graph the solution.
13 < \frac{c}{-4}+12
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 12 from both sides

$$13 - 12<\frac{c}{-4}+12 - 12$$
$$1<\frac{c}{-4}$$

Step2: Multiply both sides by - 4 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips.
$$1\times(-4)>\frac{c}{-4}\times(-4)$$
$$- 4>c$$

Answer:

The solution of the inequality is \(c < - 4\). On the number - line, we have an open circle at \(-4\) (since the inequality is strict, \(c
eq - 4\)) and the ray extends to the left.