Concept explainers
(a)
Whether a valid conclusion follows from the given statement for each given condition and if it does not follow then write no valid conclusion and explain the reason.
(a)
Answer to Problem 42PPS
Theconclusion is valid.
Explanation of Solution
Given information:
The statement is “If the dimensions of the rectangle
The dimensions of new rectangle are
Calculation:
Find the perimeter of the rectangle with old dimensions.
Find the perimeter of the rectangle with new dimensions.
Therefore, the conclusion follows the statement because when the dimensions are doubled then the perimeter is also doubled.
Hence, the conclusion is valid.
(b)
Whether a valid conclusion follows from the given statement for each given condition and if it does not follow then write no valid conclusion and explain the reason.
(b)
Answer to Problem 42PPS
Theconclusion is valid.
Explanation of Solution
Given information:
The statement is “If the dimensions of the rectangle
The dimensions of new rectangle are
Calculation:
Find the perimeter of the rectangle with new dimensions.
The perimeter of the new rectangle 52 inches is part of the conclusion.
Hence, the conclusion is valid.
Chapter 1 Solutions
Algebra 1
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