College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.4 - Page 561: 73

Answer

The statement is false. One way to make it true is to replace the word "four" with "at most two"

Work Step by Step

A line and circle can have - no intersections - one intersection (the line is a tangent line to the circle) or - two intersections (the line is a secant of the circe). In no way can there be 4 (real) intersections. So the statement is false. One way to make it true is to replace the word "four" with "at most two" so it reads "... circle and and a line can have at most two real ordered-pair solutions.'
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