Question

Solve Negative two-thirds n less-than-or-equal-to 16. Which of the following must be true about the inequality and the resulting graph? Select three options.
n less-than-or-equal-to negative 24
n greater-than-or-equal-to negative 24
The circle is open.
The circle is closed.
The arrow points right.

Answer 1

(-2/3)n ≤ 16
Divide both sides by -2/3 (flip the inequality because you divide by a negative):
n ≥ 16 ÷ (-2/3) = 16 × (-3/2) = -24

So the three true options are:
- n greater-than-or-equal-to negative 24
- The circle is closed
- The arrow points right

(n less-than-or-equal-to -24 and the circle is open are incorrect.)