Write the converse of the following true conditional statement. If the converse is false write a counter example.
My answer If a < 15 the a < 10 false
counter example a = 12 and a > 10
That is a Connexus question, you still answered wrong.
Oh... This is the wrong answer for your question... I thought it was for Connexus... Sorry
If a < 10, then a < 15.
To write the converse of a conditional statement, you need to swap the hypothesis and the conclusion. The original conditional statement is "If a < 15, then a < 10."
The converse of this statement would be: "If a < 10, then a < 15."
Now, to determine whether the converse is true or false, let's consider a counterexample. You provided the counterexample a = 12 and a > 10. However, this counterexample does not actually disprove the converse statement. In this case, a = 12 is indeed less than 15, which satisfies the condition of a < 15. Therefore, a < 12 is still true.
To disprove the converse statement, we need to find a counterexample where a < 10 is true but a < 15 is false. For example, if we let a = 8, then a < 10 is true, but a < 15 is false since 8 is not less than 15.
Thus, the converse statement "If a < 10, then a < 15" is false, and the counterexample a = 8 demonstrates this.
I think it's like this
D)
If x > 0, then x > 9; false. counterexample: x = 2, and x < 9.