Chapter 2.3, Problem 53E

Applying What You’ve Learned

In the following table, we have listed various features that a person might consider when buying a new car.

	Cost	Size	Warranty (years)	Safety Rating	Antitheft Package
$a$	$\$19,800$	Subcompact	$3$	Good	Yes
$b$	$\$24,500$	Midrange	$2$	Good	No
$c$	$\$21,300$	Subcompact	$3$	Moderate	Yes
$d$	$\$23,500$	Compact	$3$	Poor	No
$e$	$\$19,200$	Subcompact	$2$	Poor	No
$f$	$\$22,700$	Compact	$3$	Poor	No
$g$	$\$23,000$	Compact	$4$	Moderate	Yes
$h$	$\$25,700$	Midrange	$4$	Good	No

In the universal set $U=\left\{a,b,c,\dots ,h\right\}$, define subsets of cars with the following characteristics:

$P=$ price is above $\$22,000$

$C=$ is compact

$G=$ has good safety rating

$A=$ has antitheft package

$W=$ warranty is at least three years

In Exercises 49 - 56, first describe each set in words and then find the set.

$P\cap \left(G\cup W\right)$