let p: a car has automatic windows. let q: a car has automatic seats. p v q is true for a total of how many cars? 40 54 66 80

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for $p\lor q$
The formula for $n(p\lor q)$ (the number of elements in $p\lor q$) is $n(p\lor q)=n(p)+n(q)-n(p\land q)$.
## Step2: Identify values from the Venn - diagram
From the Venn - diagram, $n(p) = 40 + 14$, $n(q)=26 + 14$, and $n(p\land q)=14$.
$$
\begin{align*}
n(p)&=40 + 14=54\
n(q)&=26+14 = 40\
n(p\land q)&=14
\end{align*}
$$
## Step3: Calculate $n(p\lor q)$
Substitute the values into the formula $n(p\lor q)=n(p)+n(q)-n(p\land q)$
$$
\begin{align*}
n(p\lor q)&=(40 + 14)+(26+14)-14\
&=40+14+26+14 - 14\
&=40+26+(14 + 14-14)\
&=66+14\
&=80
\end{align*}
$$

# Answer:
$80$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for \(p\lor q\)

Step2: Identify values from the Venn - diagram

Step3: Calculate \(n(p\lor q)\)

Answer: