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5 votes
Given: If the basketball player makes the shot, then the team will win the game.

Given If the team wins the game, then they will advance to the playoffs.
A. If the basketball player does not make the shot, then the team will not win the game.
B. If the basketball player does not make the shot, then the team will not advance to the playoffs.
C. If the team does not win the game, then the team will not advance to the playoffs.
D. If the basketball player makes the shot, then the team will advance to the playoffs.

1 Answer

2 votes

Answer:

if the basketball player makes the shot, then the team will advance to the playoffs (option d)

Step-by-step explanation:

statement a is incorrect because the reverse of a statement is not always true. for example, all girls are humans but not all humans are girls. as such, we do not know that if the basketball player does not make the shot, the team will not win the game.

statement b is also incorrect, and uses a similar line of reasoning as statement a.

statement c is incorrect as well, and also uses the same reasoning as statements a and b.

statement d is correct. the reasoning used here is that if [x], then [y]. if [y], then [z]. thus, if [x], then [z].

i hope this helps! :D

answered
User Swajak
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