Math Problem Statement

For the following problem, a student determine that the answers were (a)  𝑅∪𝑊∪𝐹𝑐  and (b)  23.

In the text box below, explain your reasoning to support the student's answers or your reasoning for why the answers are incorrect.

In a survey of 120 customers of the Rufus Company regarding their purchases of sweatshirts, the following data were obtained.

45 buy those sold under the Rufus label.

60 buy those sold under the Wolf label.

56 buy those sold under the Finite label.

23 buy those sold under the Rufus and Wolf labels.

18 buy those sold under the Rufus and Finite labels.

20 buy those sold under the Wolf and Finite labels.

8 buy those sweatshirts sold under all three labels.

State the notation for the set that contains sweatshirts with the "Rufus label and the Wolf label but not the Finite label."

Determine the number of customers surveyed that buy the sweatshirt sold under: "the Rufus label and the Wolf label but not the Finite label."

For the following problem, a student determine that the answers were (a)  𝑅∪𝑊∪𝐹𝑐  and (b)  23.

In the text box below, explain your reasoning to support the student's answers or your reasoning for why the answers are incorrect.

In a survey of 120 customers of the Rufus Company regarding their purchases of sweatshirts, the following data were obtained.

45 buy those sold under the Rufus label.

60 buy those sold under the Wolf label.

56 buy those sold under the Finite label.

23 buy those sold under the Rufus and Wolf labels.

18 buy those sold under the Rufus and Finite labels.

20 buy those sold under the Wolf and Finite labels.

8 buy those sweatshirts sold under all three labels.

State the notation for the set that contains sweatshirts with the "Rufus label and the Wolf label but not the Finite label."

Determine the number of customers surveyed that buy the sweatshirt sold under: "the Rufus label and the Wolf label but not the Finite label."

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Math Problem Analysis

Mathematical Concepts

Set Theory
Intersection of Sets
Complement of Sets

Formulas

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Theorems

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Suitable Grade Level

College