The converse of a statement of the form “If A then B” is the statement “If B then A .”  (a) Write the converse of the statement “If point P is equidistant from the coordinate axes, then point P is on the line y=x.” (b) Give an example of a true statement whose converse is false. (c) Give an example of a true statement whose converse is also true.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 21E
icon
Related questions
Question

The converse of a statement of the form “If A then B” is the statement “If B then A .” 

(a) Write the converse of the statement “If point P is equidistant from the coordinate axes, then point P is on the line y=x.”

(b) Give an example of a true statement whose converse is false.

(c) Give an example of a true statement whose converse is also true.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning