Yes, it is true that if ( p ) is an integer and ( q ) is a nonzero integer, then ( p ) can take any whole number value, including positive, negative, or zero, while ( q ) cannot be zero and must be a whole number either positive or negative. This distinction is important in mathematical contexts where division by zero is undefined.
The expression ( p \land q ) is called the "conjunction" of statements ( p ) and ( q ). It is true only when both ( p ) and ( q ) are true; otherwise, it is false. In logical terms, conjunction represents the logical AND operation.
"If a number is an integer, then it is a whole number." In math terms, the converse of p-->q is q-->p. Note that although the statement in the problem is true, the converse that I just stated is not necessarily true.
A biconditional statement, expressed as "P if and only if Q" (P ↔ Q), can be rewritten as two conditional statements: "If P, then Q" (P → Q) and "If Q, then P" (Q → P). This means that both conditions must be true for the biconditional to hold. Essentially, the biconditional asserts that P and Q are equivalent in truth value.
A rational number is any number of the form p/q where p and q are integers and q is not zero. If p and q are co=prime, then p/q will be rational but will not be an integer.
Then p/q is a rational number.
if p is an integer and q is a nonzero integer
Any fraction p/q where p is an integer and q is a non-zero integer is rational.
Any fraction p/q where p is an integer and q is a non-zero integer is rational.
"If a number is an integer, then it is a whole number." In math terms, the converse of p-->q is q-->p. Note that although the statement in the problem is true, the converse that I just stated is not necessarily true.
8 is an integer, which, by definition, are not irrational. In particular, an irrational number is a number that cannot be written in the form p/q for p and q both integers. However, since 8 clearly is equal to 8k/k for any integer k (and for that matter any nonzero number k), 8 is not irrational
It is ~p.
S-P interval means the integer minus the integer. The difference times nine.
The truth values.
A rational number is any number of the form p/q where p and q are integers and q is not zero. If p and q are co=prime, then p/q will be rational but will not be an integer.
There is big deal. x and y are commonly used as variables, p and q are used a statements in logic.
Not sure I can do a table here but: P True, Q True then P -> Q True P True, Q False then P -> Q False P False, Q True then P -> Q True P False, Q False then P -> Q True It is the same as not(P) OR Q