Question

solve the inequality and graph the solution. 67 < 15 + 13k. 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: Isolate the variable k

Subtract 15 from both sides of the inequality $67<15 + 13k$.
$67-15<15 + 13k-15$
$52<13k$

Step2: Solve for k

Divide both sides of the inequality $52<13k$ by 13.
$\frac{52}{13}<\frac{13k}{13}$
$4 < k$ or $k>4$

To graph the solution on the number - line:

1. Plot an open circle at 4 (because the inequality is strict, i.e., $k$ is greater than 4, not greater than or equal to 4).
2. Draw a ray to the right of 4 to represent all the values of $k$ that satisfy the inequality.

Answer:

The solution of the inequality is $k > 4$. On the number - line, plot an open circle at 4 and draw a ray to the right.