
Concept explainers
(a)
To write:The three conditional statement.
(a)

Answer to Problem 62PPS
The three conditional statement are stated below.
Explanation of Solution
The three conditional statement are:
If a number is a whole number, then it is an integer.
If a number is an integer, then it is a rational number.
If a number is a rational number, then it is a real number.
(b)
To draw: The vein diagram of the three conditional statement.
(b)

Answer to Problem 62PPS
The vein diagram of the three conditional statement is shown in figure (1).
Explanation of Solution
Consider the conditional statement.
The vein diagram is plotted below.
Figure (1)
(c)
To write: The three conditional statement using hypothesis of first conditional statement and conclusion of third statement and state whether true or false.
(c)

Answer to Problem 62PPS
The three conditional statement using hypothesis of first conditional statement and conclusion of third statement is stated below and the it is true.
Explanation of Solution
If a number is a whole number, then it is a real number.
Consider the vein diagram, the whole numbers are contained in real numbers.
So, the statement is true.
(d)
To make: The conjecture of the two conditions.
(d)

Answer to Problem 62PPS
The conjecture of the two conditions is stated below.
Explanation of Solution
The conjecture would be if a, then c.
This is the transitive property and its truth has been demonstrated in the Vein diagram.
Chapter 2 Solutions
Geometry, Student Edition
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