Question

solve the inequality and graph the solution. 16 ≤ -15t + 1 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 term with t

Subtract 1 from both sides of the inequality $16\leq - 15t + 1$.
$16-1\leq -15t+1 - 1$, which simplifies to $15\leq - 15t$.

Step2: Solve for t

Divide both sides of the inequality $15\leq - 15t$ by - 15. Remember to reverse the inequality sign when dividing by a negative number.
$\frac{15}{-15}\geq\frac{-15t}{-15}$, so $t\leq - 1$.

Answer:

The solution of the inequality is $t\leq - 1$. On the number - line, we plot a closed circle at $t=-1$ (because the inequality includes equality) and draw a ray to the left of $t = - 1$.