QuestionEncuentra el complemento de la diferencia entre los efectos del tabaco $T$ y los del alcohol $A$ : $(T - A)'$ .

Studdy Solution

STEP 1

Assumptions1. is the set of listed effects of tobacco consumption. . $A$ is the set of listed effects of alcohol consumption.
3. We are asked to find the complement of the difference between the sets and $A$ , denoted as $( - A)'$ .

STEP 2

First, we need to find the difference between the sets and $A$, denoted as $ - A$. This is the set of elements that are in but not in $A$ .
$- A = \{x|x \in \, \text{and} \, x \notin A\}$

STEP 3

Substitute the given sets $$ and $A$ into the equation.
$- A = \{\text{Daño al hígado, } c, \text{Daño al cerebro, } f, \text{Daño al colón, } j, \text{Daño a los pulmones, } m\} - \{\text{Daño al riñón, } q, \text{Daño al hígado, } c, \text{Daño al corazón, } w, \text{Daño al cerebro, } f\}$

STEP 4

Calculate the difference between the sets $$ and $A$.
$- A = \{\text{Daño al colón, } j, \text{Daño a los pulmones, } m\}$

STEP 5

Now, we need to find the complement of the set $- A$ , denoted as $( - A)'$ . This is the set of elements that are not in $- A$ .
$( - A)' = \{x|x \notin - A\}$

STEP 6

Substitute the set $- A$ into the equation.
$( - A)' = \{x|x \notin \{\text{Daño al colón, } j, \text{Daño a los pulmones, } m\}\}$

STEP 7

Calculate the complement of the set $- A$ .
$( - A)' = \{\text{Daño al hígado, } c, \text{Daño al cerebro, } f, \text{Daño al riñón, } q, \text{Daño al corazón, } w\}$ The complement of the difference between the sets $$ and $A$ is $\{\text{Daño al hígado, } c, \text{Daño al cerebro, } f, \text{Daño al riñón, } q, \text{Daño al corazón, } w\}$.

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