This is my last question, but this time I don't know how to do it... At least I think I don't.
The directions say:
State the converse of each conditional. Is the converse true or false?
1. If x>0, then x^2>0
2. If 6x=18, then x=3
I know that a converse of a conditional is formed by interchanging the hypothesis and the conclusion.
An example is: If p, then q.
(p=the hypothesis, and q=the conclusion)
The Statement is If p, then q
The Converse is If q, then p.
For #1, then do I Just flip the conditional around like this?:
1. If x^2>0, then x>0
2. If x=3, then 6x=18
I forgot to add that I don't know if it's true or false.... I think that #1 is false and #2 is true but it's kinda a guess.
good guess
1. the square of a negative number (<0) is positive (>0)
2. 6 * 3 = 18
Yes, you are correct about forming the converse of a conditional statement. To find the converse, you simply interchange the hypothesis and the conclusion.
Let's apply this to the two given conditionals:
1. If x > 0, then x^2 > 0
Converse: If x^2 > 0, then x > 0
So, for this conditional, the converse statement is: "If x^2 is greater than 0, then x is greater than 0."
To determine whether the converse is true or false, we need to evaluate if the converse statement holds for all possible values of x. In this case, the converse is also true because if x^2 is greater than 0 (which means it is positive), then it implies that x is also greater than 0.
2. If 6x = 18, then x = 3
Converse: If x = 3, then 6x = 18
For this conditional, the converse statement is: "If x is equal to 3, then 6x is equal to 18."
Once again, to determine if the converse is true or false, we need to check if the converse statement holds true for all possible values of x. In this case, the converse is true because if x is equal to 3, then it would mean that 6x is indeed equal to 18.
So, both converse statements are true in these cases.