Final answer:
The false conditional statement is A: If x^2 = 4, then x = 2, because it does not account for x also being -2. The correct version of this is C, which includes both possible values for x.
Step-by-step explanation:
The student is asking to identify which of the following conditional statements is false:
- A. If x2 = 4, then x = 2.
- B. If x = 2, then x2 = 4.
- C. If x2 = 4, then x = 2 or x = -2.
- D. If x is even, then x2 is even.
The false conditional statement is:
A. If x2 = 4, then x = 2. This statement is false because it does not consider that x could also be -2. A correct version of this statement is represented by option C.
Statement B is true because when x is 2, squaring it will indeed yield 4. Statement C is true as it correctly states both possible values for x when x2 equals 4. Statement D is also true, as the square of any even number results in an even number.