Question
Consider the conditional statement “If A, then B,” where the hypothesis A is “x and y are even numbers” and the conclusion 𝐵 is “x + y is even”
.Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.
- True, True, False, True
- False, False, True, True
- False, False, False, True
- True, False, False, True
Hint:
A number divisible by 2 is called an even number.
The correct answer is: True, False, False, True
If A, then B is true.
If B, then A is false.
If not A, then not B is false.
If not B, then not A is true.
Hence, the correct option is D.
Sum of two even numbers is even and sum of two odd numbers is also even.
Related Questions to study
When taking the inverse, we _____________ the hypothesis and conclusion.
When taking the inverse, we _____________ the hypothesis and conclusion.
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When taking the converse, we ___________ the hypothesis and conclusion.
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What is the biconditional statement of the following conditional statement?
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What is the biconditional statement of the following conditional statement?
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To write the converse, you negate both the hypothesis and the conclusion.
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
To write the converse, you negate both the hypothesis and the conclusion.
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
Complete using one of the choices below: If two planes have two common points
𝐴 and 𝐵, then they ______.
Note that if two given planes intersect, then they always intersect at a straight line.
Therefore, if the two planes have two common points 𝐴 and 𝐵, then they intersect at line AB.
Complete using one of the choices below: If two planes have two common points
𝐴 and 𝐵, then they ______.
Note that if two given planes intersect, then they always intersect at a straight line.
Therefore, if the two planes have two common points 𝐴 and 𝐵, then they intersect at line AB.