A=2,5;
B=3,4,7;
C=3,4,8;
(A-B)×C=(A×C)-(B-C)

To solve the given problem, let's break it down step-by-step. 

### Given:

- \( A = \{2, 5\} \)
- \( B = \{3, 4, 7\} \)
- \( C = \{3, 4, 8\} \)

We need to evaluate:

\[
(A - B) \times C = (A \times C) - (B - C)
\]

where:

- \( A - B \) is the difference between sets \( A \) and \( B \)
- \( A \times C \) is the Cartesian product of sets \( A \) and \( C \)

Let's proceed step-by-step:

### 1. Calculate \( A - B \):

\[
A - B = \{x \in A \mid x \notin B\}
\]

Since \( A = \{2, 5\} \) and \( B = \{3, 4, 7\} \):

\[
A - B = \{2, 5\}
\]

### 2. Calculate \( (A - B) \times C \):

This is the Cartesian product of \( A - B \) and \( C \):

\[
(A - B) \times C = \{

A=2,5; B=3,4,7; C=3,4,8; (A-B)×C=(A×C)-(B-C)

This step-by-step guide explains how to solve the problem involving sets A={2,5}, B={3,4,7}, and C={3,4,8}. It covers the Cartesian product and set difference, using formulas like (A - B) × C = (A × C) - (B × C), suitable for Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation