The statement ( f(x) = 2x^2 + 1 ) describes a quadratic function that opens upwards. Its vertex is located at the point (0, 1), which is the minimum value of the function. As ( x ) moves away from zero in either direction, ( f(x) ) increases without bound. Thus, the function is always greater than or equal to 1 for all real values of ( x ).
Its value is 1 when the statement is true and 0 otherwise.Its value is 1 when the statement is true and 0 otherwise.Its value is 1 when the statement is true and 0 otherwise.Its value is 1 when the statement is true and 0 otherwise.
It is a true statement. If you buy them all, the probability of your winning is 1!It is a true statement. If you buy them all, the probability of your winning is 1!It is a true statement. If you buy them all, the probability of your winning is 1!It is a true statement. If you buy them all, the probability of your winning is 1!
true
If a statement is true, then its negation is false. The negation of a statement is essentially the opposite of that statement; it asserts that the original statement is not true. Therefore, if the original statement holds true, the negation cannot hold true simultaneously.
Mathematical induction is just a way of proving a statement to be true for all positive integers: prove the statement to be true about 1; then assume it to be true for a generic integer x, and prove it to be true for x + 1; it therefore must be true for all positive integers.
Its value is 1 when the statement is true and 0 otherwise.Its value is 1 when the statement is true and 0 otherwise.Its value is 1 when the statement is true and 0 otherwise.Its value is 1 when the statement is true and 0 otherwise.
It is a true statement. If you buy them all, the probability of your winning is 1!It is a true statement. If you buy them all, the probability of your winning is 1!It is a true statement. If you buy them all, the probability of your winning is 1!It is a true statement. If you buy them all, the probability of your winning is 1!
3
The second statement.
If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."
true
Which type of angle is
Circular logic would be a statement or series of statements that are true because of another statement, which is true because of the first. For example, statement A is true because statement B is true. Statement B is true because statement A is true
If a statement is true, then its negation is false. The negation of a statement is essentially the opposite of that statement; it asserts that the original statement is not true. Therefore, if the original statement holds true, the negation cannot hold true simultaneously.
Mathematical induction is just a way of proving a statement to be true for all positive integers: prove the statement to be true about 1; then assume it to be true for a generic integer x, and prove it to be true for x + 1; it therefore must be true for all positive integers.
true
In computing, this is an AND statement.