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A. Translate the following English phrases and sentences to symbolic form. 1. 8 less twice a number 2. the product of 3 and the square of the sum of two numbers 3. one-fourth of the difference of a number and 5 4. the square of a number increased by twice of itself 5. the quotient of the sum and the product of three numbers 6. The sum of the squares of two numbers is less than or equal to the square of their sum. 7. If x is an element of the intersection of sets A and B, then xis an element of both sets A and B. 8. If A is a subset of Band Bis not a subset of A, then the union of A and Bis B. 9. The product of two integers is also an integer. 10. There exist no two real numbers such that their difference is equal to their sum. B. Translate the following mathematical sentences to English form. 11. 4x-1= x² 3 12. x³+y³2 (x + y)³ 13. Vx > 0,3y € R, xy = 1 14. x ER → x E QVX EQ' 15. AB (AnB = AAAUB = B)

A. Translate the following English phrases and sentences to symbolic form. 1. 8 less twice a number 2. the product of 3 and the square of the sum of two numbers 3. one-fourth of the difference of a number and 5 4. the square of a number increased by twice of itself 5. the quotient of the sum and the product of three numbers 6. The sum of the squares of two numbers is less than or equal to the square of their sum. 7. If x is an element of the intersection of sets A and B, then xis an element of both sets A and B. 8. If A is a subset of Band Bis not a subset of A, then the union of A and Bis B. 9. The product of two integers is also an integer. 10. There exist no two real numbers such that their difference is equal to their sum. B. Translate the following mathematical sentences to English form. 11. 4x-1= x² 3 12. x³+y³2 (x + y)³ 13. Vx > 0,3y € R, xy = 1 14. x ER → x E QVX EQ' 15. AB (AnB = AAAUB = B)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A. Translate the following English phrases and sentences to symbolic form. 1. 8 less twice a number 2. the product of 3 and the square of the sum of two numbers 3. one-fourth of the difference of a number and 5 4. the square of a number increased by twice of itself 5. the quotient of the sum and the product of three numbers 6. The sum of the squares of two numbers is less than or equal to the square of their sum. 7. If x is an element of the intersection of sets A and B, then xis an element of both sets A and B. 8. If A is a subset of Band Bis not a subset of A, then the union of A and Bis B. 9. The product of two integers is also an integer. 10. There exist no two real numbers such that their difference is equal to their sum. B. Translate the following mathematical sentences to English form. 11. 4x-1= x² 3 12. x³+y³2 (x + y)³ 13. Vx > 0,3y € R, xy = 1 14. x ER → x E QVX EQ' 15. AB (AnB = AAAUB = B)
Transcribed Image Text:A. Translate the following English phrases and sentences to symbolic form. 1. 8 less twice a number 2. the product of 3 and the square of the sum of two numbers 3. one-fourth of the difference of a number and 5 4. the square of a number increased by twice of itself 5. the quotient of the sum and the product of three numbers 6. The sum of the squares of two numbers is less than or equal to the square of their sum. 7. If x is an element of the intersection of sets A and B, then xis an element of both sets A and B. 8. If A is a subset of Band Bis not a subset of A, then the union of A and Bis B. 9. The product of two integers is also an integer. 10. There exist no two real numbers such that their difference is equal to their sum. B. Translate the following mathematical sentences to English form. 11. 4x-1= x² 3 12. x³+y³2 (x + y)³ 13. Vx > 0,3y € R, xy = 1 14. x ER → x E QVX EQ' 15. AB (AnB = AAAUB = B)
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