(a.)
To Write: The given statement in if-then form.
It has been determined that the given statement can be written in if-then form as follows:
If a figure is a square, then it is a rectangle.
Given:
Every figure that is a square is a rectangle.
Concept used:
Statements with universal quantifiers and most other conjunctions can be written in if-then form.
Calculation:
The given statement is:
Every figure that is a square is a rectangle.
Writing in if-then form as follows:
If a figure is a square, then it is a rectangle.
Conclusion:
It has been determined that the given statement can be written in if-then form as follows:
If a figure is a square, then it is a rectangle.
(b.)
To Write: The given statement in if-then form.
It has been determined that the given statement can be written in if-then form as follows:
If a number is an integer, then it is a rational number.
Given:
All integers are rational numbers.
Concept used:
Statements with universal quantifiers and most other conjunctions can be written in if-then form.
Calculation:
The given statement is:
All integers are rational numbers.
Writing in if-then form as follows:
If a number is an integer, then it is a rational number.
Conclusion:
It has been determined that the given statement can be written in if-then form as follows:
If a number is an integer, then it is a rational number.
(c.)
To Write: The given statement in if-then form.
It has been determined that the given statement can be written in if-then form as follows:
If a figure is a triangle, then it has exactly three sides.
Given:
Figures with exactly three sides maybe triangles.
Concept used:
Statements with universal quantifiers and most other conjunctions can be written in if-then form.
Calculation:
The given statement is:
Figures with exactly three sides maybe triangles.
Writing in if-then form as follows:
If a figure is a triangle, then it has exactly three sides.
Conclusion:
It has been determined that the given statement can be written in if-then form as follows:
If a figure is a triangle, then it has exactly three sides.
(d.)
To Write: The given statement in if-then form.
It has been determined that the given statement can be written in if-then form as follows:
If it rains, then it is cloudy.
Given:
It rains only if it is cloudy.
Concept used:
Statements with universal quantifiers and most other conjunctions can be written in if-then form.
Calculation:
The given statement is:
It rains only if it is cloudy.
Writing in if-then form as follows:
If it rains, then it is cloudy.
Conclusion:
It has been determined that the given statement can be written in if-then form as follows:
If it rains, then it is cloudy.
Chapter B.2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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