Question

Identify the converse of the following conditional statement: If x + 4 equals 5, then x equals 1.

A. If x equals 1, then x + 4 equals 5
B. x + 4 equals 5 if & only if x equals 1
C. If x + 4 does not equal 5, then x equals 1
D. if x does not equal 1, then x + 4 does not equal 5

Answer 1

The converse of the conditional statement is option A: "If x equals 1, then x + 4 equals 5," as it involves switching the hypothesis and the conclusion of the original statement.

Step-by-step explanation:

The converse of a conditional statement is created by switching its hypothesis (the 'if' part) and its conclusion (the 'then' part). In the statement "If x + 4 equals 5, then x equals 1," the hypothesis is "x + 4 equals 5" and the conclusion is "x equals 1." When we switch these, we get the converse: "If x equals 1, then x + 4 equals 5." Therefore, the converse of the given statement is option A: "If x equals 1, then x + 4 equals 5."