1. Write the converse of the following true conditional statement. if the converse is false, write a counterexample.
If a < 10, then a < 15
a) if a > 10, the a > 15; false. Counterexample: a=12 and a<15.
b) if a <15, then a<10; false.
Counterexample: a=12 and a >10
c) If a <15, then a <10;true
d) if a>(equal or greater to) 15, then a>(equal or greater to) 10; true
Could someone please help and explain? This doesn't make any sense. Thank you!
The answer is B🤦🏼♀️
it's 100% B. I literally just took the test 2 seconds ago.
B. if a<15, then a<10; false
Do you have the other answers, I'm really struggling
So what is the answer? :/
yeahh b is right
did you ever get the answer
To write the converse of a conditional statement, you need to interchange the hypothesis (if part) and the conclusion (then part) of the original statement. In this case, the given statement is "If a < 10, then a < 15."
The converse of this statement would be "If a < 15, then a < 10."
Now, let's analyze the options provided:
a) if a > 10, then a > 15; false. Counterexample: a=12 and a<15.
Explanation: This option is not the correct converse. It is stating that if a is greater than 10, then a must be greater than 15. However, this is not true, as you can find a counterexample where a = 12 and a is less than 15.
b) if a < 15, then a < 10; false. Counterexample: a=12 and a > 10
Explanation: This option is indeed the converse of the given statement. It states that if a is less than 15, then a must be less than 10. This statement is false because you can find a counterexample where a = 12 and a is greater than 10.
c) If a < 15, then a < 10; true
Explanation: This option is not the converse of the given statement. It is actually the given statement itself. Therefore, it is true.
d) if a > 15, then a > 10; true
Explanation: This option is not the correct converse. It changes the inequality signs in the given statement. The correct converse would have "a<15" and "a<10" as hypothesis and conclusion, respectively. So, this option is not the converse.
Therefore, the correct answer is option b, and the converse of the given statement "If a < 10, then a < 15" is "If a < 15, then a < 10," which is false with the counterexample a = 12 and a > 10.
If 3 - 2 x = 13, then x = -5.
Converse:
C is the converse, and it is clearly false. 11 < 15 but 11 ~< 10
The other statements may be true or false, but they are not the converse of the given statement.