Question

complete the following. (a) consider the following statement. the team won its most recent game. check all the statements below that are negations of this statement. the team has not won any games. it is not the case that the team won its most recent game. the team will lose its next game. (b) consider the following conditional statement. if isabel has been exercising, then isabel is wearing tennis shoes. what is the conclusion of this statement? isabel is wearing wrist bands. isabel is wearing tennis shoes. tennis shoes are wearing isabel. isabel has been exercising. it is not true that isabel is wearing gym shorts.

Explanation:

Parte (a)

Para negar la declaración "The team won its most recent game", debemos identificar las opciones que representan la negación lógica. La negación de "el equipo ganó su último partido" es cualquier enunciado que indique que no es cierto que el equipo haya ganado.

• "The team has not won any games" no es la negación directa de "ganó el último partido" (puede haber ganado otros pero no el último).
• "It is not the case that the team won its most recent game" es la negación directa, ya que niega que sea cierto que el equipo ganó su último partido.
• "The team will lose its next game" no está relacionado con la negación del hecho de que ganó el último partido (habla del próximo partido).

Entonces, la opción correcta para marcar es "It is not the case that the team won its most recent game".

En una declaración condicional de la forma "If \( p \), then \( q \)", la conclusión es la parte \( q \) (el consecuente). En la declaración "If Isabel has been exercising, then Isabel is wearing tennis shoes", la parte después de "then" es "Isabel is wearing tennis shoes", que es la conclusión.

Answer:

$\square$ The team has not won any games.
$\boldsymbol{\square}$ It is not the case that the team won its most recent game.
$\square$ The team will lose its next game.

Parte (b)