Name conditional and converse and truth values of each (hypothesis and conclusion):A car with poor brakes is a menace on the highway
The statement “A car with poor brakes is a menace on the highway” can be divided into a hypothesis and a conclusion
The statement “A car with poor brakes is a menace on the highway” can be divided into a hypothesis and a conclusion.
The hypothesis is “A car with poor brakes” – this refers to any car that has brakes that are not functioning properly or are in a bad condition.
The conclusion is “is a menace on the highway” – this means that the car poses a danger or threat when it is on the highway.
The conditional statement is represented as “If a car has poor brakes, then it is a menace on the highway.” It should be noted that the conditional statement is not always true in every case, as there may be instances where a car with poor brakes does not necessarily become a menace on the highway, or where a car without poor brakes still poses a threat.
The converse of the conditional statement is “If a car is a menace on the highway, then it has poor brakes.” However, this converse statement is not necessarily true either. Just because a car is a menace on the highway does not always mean that it has poor brakes. There could be other factors contributing to the car’s dangerous behavior, such as reckless driving or lack of attention.
In terms of truth values, the conditional statement can be true or false depending on the actual scenario. It is true when a car with poor brakes does indeed become a menace on the highway, but it can be false when a car with poor brakes does not pose a threat. Similarly, the converse statement can also be true or false based on whether a car being a menace on the highway guarantees poor brakes or not.
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