Answer:
B. n ≥ -24.
D. The circle is closed.
E. The arrow points right.
Explanation:
Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.
(-2/3 * -3/2)n ≤ 16(-3/2)
n ≥ 16(-3/2)
Step 2: Express 16(-3/2) as a single fraction.
n ≥ 16(-3)/2
Step 3: Multiply 16 by -3 to get -48.
n ≥ -48/2
Final Step: Divide -48 by 2 to get -24.
n ≥ -24 is the final answer.
With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).