Question

solve the inequality.
-16 ≤ 8/3t
the solution is
graph the solution.

Explanation:

Step1: Isolate the variable t

Multiply both sides by $\frac{3}{8}$ to get $t$ alone. Since $\frac{3}{8}>0$, the inequality sign remains the same. So, $-16\times\frac{3}{8}\leq\frac{8}{3}t\times\frac{3}{8}$.

Step2: Calculate the left - hand side

$-16\times\frac{3}{8}=\frac{-16\times3}{8}=-6$. And $\frac{8}{3}t\times\frac{3}{8}=t$. So, $-6\leq t$.

Answer:

$t\geq - 6$

The graph of the solution has a closed circle at $-6$ (because the inequality is $\geq$) and the arrow points to the right.