Question

solve the inequality and graph the solution.
10(k - 6) < 20
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: Distribute 10

$10(k - 6)=10k-60$, so the inequality becomes $10k - 60<20$.

Step2: Add 60 to both sides

$10k-60 + 60<20 + 60$, which simplifies to $10k<80$.

Step3: Divide both sides by 10

$\frac{10k}{10}<\frac{80}{10}$, resulting in $k < 8$.

Answer:

The solution of the inequality is $k < 8$. On the number - line, we use an open circle at 8 (since $k$ is strictly less than 8) and draw a ray to the left of 8.