OG详解-OG7 数学1 Q43

Choice A is correct. It’s given that the four odd integers are consecutive, ordered from least to greatest, and that the first odd integer is represented by x. It follows that the second odd integer is represented by x+2, the third odd integer is represented by x+4, and the fourth odd integer is represented by x+6. Therefore, the product of 12 and the fourth odd integer is represented by 12(x+6), and 26 less than the sum of the first and third odd integers is represented by x+(x+4)-26. Since the product of 12 and the fourth odd integer is at most 26 less than the sum of the first and third odd integers, it follows that 12(x+6) ≤ x+(x+4)-26.
Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.