According to the given statements:
a. If the integers x and y are, respectively, even and odd, then xy is even.
b. When x is odd, x2 is also odd.
c. If p is a prime number, p2 is not a prime number.
d. If the integers a and b are negative, then ab is also a negative number.
e. If AC and BD are diagonally arranged in a rhombus, then AC is perpendicular to BD.
<h3>What is number system in math's?</h3>
A numeral system, also known as a mathematical notation, is a way of writing numbers that uses digits or even other symbols to represent the numbers in a given set in a standardized way. The same set of symbols can represent various numbers in various numeral systems.
<h3>According to the given statement:</h3>
A. if a, then b the product of an odd integer and an even integer is even.
If the integers x and y are, respectively, even and odd, then xy is even.
B. if a, then b the square of an odd integer is odd.
When x is odd, x2 is also odd.
C. if a, then b the square of a prime number is not prime.
If p is a prime number, p2 is not a prime number.
D. the product of two negative integers is negative. (this, of course, is false.)
If the integers a and b are negative, then ab is also a negative number.
E. the diagonals of a rhombus are perpendicular.
If AC and BD are diagonally arranged in a rhombus, then AC is perpendicular to BD.
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I understand that the question you are looking for is:
Each of the following statements can be recast in the if-then form. please rewrite each of the following sentences in the form "if a, then b."
a. the product of an odd integer and an even integer is even.
b. the square of an odd integer is odd.
c. the square of a prime number is not prime.
d. the product of two negative integers is negative. (this, of course, is false.)
e. the diagonals of a rhombus are perpendicular
