Solve the Rational Inequality $\mathrm { P } = \mathrm { t } ^ { 2 } - 30 \mathrm { t } + 216$

question 368

Multiple Choice

Solve the rational inequality. Write the solution set in interval notation.
-The profit made when t units are sold, t > 0, is given by $\mathrm { P } = \mathrm { t } ^ { 2 } - 30 \mathrm { t } + 216$ Determine the number of units to be sold in order for P > 0 (a profit is made) .

• A) t > 18 or t < 12
• B) 18 < t < 12
• C) t = 30
• D) t = 18 or t = 12

---

Definitions:

P(A ∪ B)

The likelihood that either event A or event B, or both, will happen.

P(A ∪ B)

The probability that either event A or event B, or both, occur.

P(A ∩ B)

The probability that both events A and B occur, also known as the probability of the intersection of A and B.

Six-Sided Die

A common type of dice that has six faces, typically numbered from 1 to 6, used in various games and probability experiments.