4. Do the equations |2x + 1| = 13x + 4| and |2x + 1| = 3x + 4 have the same %3D solutions? Explain. * O A. Yes; squaring both sides of each equation shows that the equations are equivalent. B. Yes; because 3 and 4 are positive numbers, [3x + 4| = 3x + 4. C. No; removing the absolute value symbols from one side of the equation always changes the answer. D. No; one of the solutions of the first equation is an extraneous solution for the second equation.

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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Question
4. Do the equations |2x + 1| = 13x + 4| and |2x + 1| = 3x + 4 have the same
%3D
solutions? Explain. *
O A. Yes; squaring both sides of each equation shows that the equations are equivalent.
B. Yes; because 3 and 4 are positive numbers, [3x + 4| = 3x + 4.
C. No; removing the absolute value symbols from one side of the equation always
changes the answer.
D. No; one of the solutions of the first equation is an extraneous solution for the
second equation.
Transcribed Image Text:4. Do the equations |2x + 1| = 13x + 4| and |2x + 1| = 3x + 4 have the same %3D solutions? Explain. * O A. Yes; squaring both sides of each equation shows that the equations are equivalent. B. Yes; because 3 and 4 are positive numbers, [3x + 4| = 3x + 4. C. No; removing the absolute value symbols from one side of the equation always changes the answer. D. No; one of the solutions of the first equation is an extraneous solution for the second equation.
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