Question

refer to the chart on the right listing the 52 - week high and low prices, the last price, and the change in price from the day before for six stocks on a recent day. describe the set below; then list the elements of the set. let a contain all stocks with a high price greater than $60.
describe the set a in words. choose the correct answer.
a. the set of all listed stocks with a high price less than or equal to $60
b. the set of all listed stocks with a high price less than $60
c. the set of all listed stocks with a last price between $25 and $80
d. the set of all listed stocks with a price greater than $80
list the elements of the set a.
(use a comma to separate answers as needed.)

Explanation:

Step1: Understand the complement of a set

The complement of a set \(A\), denoted as \(A'\), consists of all elements in the universal set that are not in \(A\). Here, the universal set is the set of all listed stocks.

Step2: Analyze each option

• Option A: If \(A\) is the set of all listed stocks with a high price less than or equal to \(\$60\), then \(A'\) is the set of all listed stocks with a high price greater than \(\$60\).
• Option B: The description in option B is about high - price less than \(\$60\) which is the set \(A\) (if we assume \(A\) is defined as such), not \(A'\).
• Option C: This is about the last price, not related to the complement of a set defined by high - price.
• Option D: This is about the price (not specified as high, low or last) greater than \(\$80\), not relevant to the complement of the set defined by high - price less than or equal to \(\$60\).

Answer:

A. The set of all listed stocks with a high price greater than \(\$60\).