Question

solve the inequality and graph the solution. 1 + 3h ≤ 13. 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 term

Subtract 1 from both sides of the inequality $1 + 3h\leq13$. We get $3h\leq13 - 1$, which simplifies to $3h\leq12$.

Step2: Solve for h

Divide both sides of the inequality $3h\leq12$ by 3. So $h\leq\frac{12}{3}$, which gives $h\leq4$.

Step3: Graph the solution

On the number - line, we plot a closed circle at 4 (since the inequality is $\leq$) and draw a ray to the left of 4 to represent all the values of h that satisfy the inequality.

Answer:

The solution of the inequality is $h\leq4$. On the number - line, we have a closed circle at 4 and a ray extending to the left.