The truth value of a conditional statement can either be true or false. In order to show that a conditional is true, just show that every time the hypothesis is true, the conclusion is also true. To show that a conditional is false, you just need to show that every time the hypothesis is true, the conclusion is false. Show What do you notice about the truth value of a conditional statement and the truth value of its Contrapositive? If the condition is not met, the truth of the conclusion cannot be determined; the conditional statement is therefore considered to be vacuously true, or true by default. The contrapositive of a conditional statement of the form “If p then q” is “If ~q then ~p”. Symbolically, the contrapositive of p q is ~q ~p. What is the degree of truth of a conditional statement? the degree of truth of a conditional statement. a law of deductive reasoning that states that if two conditional statements are true, and if the conclusion of the first statement is the hypothesis of the second statement, then a conclusion based on the conditional statements will also be true; [(p>q)^(q>r)]>(p>r). What is the truth value of if a number is even then it is divisible by 2?“If a number is divisible by 2, then it is even.” “The fact that the number is divisible by 2 implies that it is even.” “A number is divisible by 2 so / hence / therefore it is even.” “All numbers that are divisible by 2 are even.” “Every number that is divisible by 2 is even” “A number is even provided it is divisible … How do I determine the truth value of a statement? The truth value of a sentence is “true” or “false”. A sentence of the form “If A then B” is true unless A is true and B is false. In this case A is “2 is even” and B is “New York has a large population.” I would evaluate each of these as true, so the compound statement is true. What is the conclusion of a conditional statement? A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion. The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. What is the condition in conditional so that the truth value is false?When the antecedent is false, the truth value of the consequent does not matter; the conditional will always be true. A conditional is considered false when the antecedent is true and the consequent is false….Conditional. How can you describe the inverse of the conditional statement if a number is even then it is divisible by two? Write the Inverse of: If a number is even, then it is divisible by two. Inverse: If a number is not even, then it is not divisible by two. The contrapositive of a conditional statement is when you negate the hypothesis and conclusion of the converse statement. What is the inverse of the conditional statement? To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. The inverse of “If it rains, then they cancel school” is “If it does not rain, then they do not cancel school.” How do you determine the truth value?The truth-value of a compound statement can readily be tested by means of a chart known as a truth table. Each row of the table represents a possible combination of truth-values for the component propositions of the compound, and the number of rows is determined by the number of possible combinations. What is the value of truth? In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth . In some programming languages, any expression can be evaluated in a context that expects a Boolean data type. Which is a conditional statement? Conditional statement. Alternatively referred to as a conditional expression and conditional processing, a conditional statement is a set of rules performed if a certain condition is met. What is the truth value in math?In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth. A conditional is used in logic for two statements. When the statements are represented by variables, the variables usually are 
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Answer: When we previously discussed inductive reasoning we based our reasoning on examples and on data from earlier events. If we instead use facts, rules and definitions then it's called deductive reasoning. We will explain this by using an example. If you get good grades then you will get into a good college. The part after the "if": you get good grades - is called a hypotheses and the part after the "then" - you will get into a good college - is called a conclusion. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as p→q This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said "if you get good grades then you will not get into a good college". If we re-arrange a conditional statement or change parts of it then we have what is called a related conditional. Example Our conditional statement is: if a population consists of 50% men then 50% of the population must be women. p→q If we exchange the position of the hypothesis and the conclusion we get a converse statement: if a population consists of 50% women then 50% of the population must be men. Step-by-step explanation: |
What is the truth value of the conditional statement when the hypothesis is true and the condition is true?
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