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State whether the equation 52 ÷ 52 = 42 defines a valid mathematical relationship and explain.

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Final answer:

The equation 52 ÷ 52 = 42 does not define a valid mathematical relationship.

Step-by-step explanation:

Dividing any number by itself will always result in 1. In the equation 52 ÷ 52 = 42, both the numerator and denominator are equal, so the result should be 1. However, the equation states that the result is 42, which is incorrect. Therefore, the equation 52 ÷ 52 = 42 does not define a valid mathematical relationship.

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