Question

Is the converse of the following conditional true if d≤7, then d≥5?
a. Yes
b. No

Answer 1

The converse of the given conditional 'if d≤7, then d≥5' is not always true. There are values of d that are greater than or equal to 5 which are not less than or equal to 7, making the converse false.

Step-by-step explanation:

The question asks whether the converse of a conditional statement is true. The original conditional statement is 'if d≤7, then d≥5'. The converse of this statement would be 'if d≥5, then d≤7'. To determine the truth of the converse, we need to consider all possible values of d that satisfy d≥5. It's possible for d to be greater than or equal to 5, but less than or equal to 7, which would make the converse true. However, it's also possible for d to be greater than 7, in which case the converse would be false. Therefore, the correct answer is b. No, because there are instances where d≥5 is true but d≤7 is not true.