Answered

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For all questions in this section, let the predicates P(θ) and Q(θ) be defined over the set of real numbers as follows:
P(θ): θ= π
Q(θ): sin θ= 0
Furthermore, define the implication I(θ): P(θ) -> Q(θ).

Which of the following is NOT a correct way to represent the implication I(θ)?
a. The sine of an angle being zero is sufficient for the measure of the angle to be π.
b. The sine of an angle being zero is necessary for the measure of the angle to be π.
c. The sine of an angle is zero if the measure of the angle is π.
d. The sine of an angle is zero whenever the measure of the angle is π.

Sagot :

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