Determine the truth value of the converse. If it is false then provide a counter example. If x<30, then x <40
The converse of the statement "If x < 30, then x < 40" is "If x < 40, then x < 30."
To determine the truth value of the converse, we can evaluate it using a counter example:
Counter example: Let x = 35.
According to the converse, if x < 40, then x < 30. However, in this case, x = 35 which satisfies the condition x < 40, but it does not satisfy the condition x < 30.
Therefore, the converse is false.
The converse of the statement "If x < 30, then x < 40" is "If x < 40, then x < 30."
To determine the truth value of the converse, we need to examine if the statement "If x < 40, then x < 30" is true or false for all possible values of x.
The converse statement is actually true. If x is a number less than 40, it is also guaranteed to be less than 30. Therefore, the converse holds true for all values of x.
No counterexample is required as the converse is true.
To determine the truth value of the converse of a conditional statement, we need to switch the positions of the hypothesis and the conclusion.
The given conditional statement is "If x<30, then x<40."
The converse of this statement would be "If x<40, then x<30."
Now, let's consider the converse statement. For the converse to be true, every instance where x<40 should also have x<30.
Let's analyze this by assuming a counterexample, in which we have x=35.
According to the converse statement, if x<40, then x<30. However, in our counterexample, 35<40 but 35 is not less than 30. Thus, the statement "If x<40, then x<30" is false as we found a counterexample that does not satisfy the condition.
Therefore, the truth value of the converse statement "If x<40, then x<30" is false.