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Which statement is equivalent to the following? x=x × 2?

a. x=2
b. x × 2
c. x=x × x
d. None of these

User Cdlf
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1 Answer

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Final answer:

The equation x = x × 2 can only be true if x equals zero. All other values would result in a contradiction, thus the correct answer is 'None of these'.

Step-by-step explanation:

The statement x = x × 2 implies that the variable x is being multiplied by 2 and set equal to itself. This is only possible if x is 0. Hence, the only value x could be to make this statement true is 0, as any non-zero number would result in a contradiction (e.g., if x were 1, then we would have 1 = 1 × 2, which is false because 1 ≠ 2). Therefore, the equivalent statement to x = x × 2 is x = 0, which is not listed among the provided options, so the correct choice is (d) None of these.

User Allisone
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