Let A = {x1, x2, . . . , x8} be a set of 12 positive integers, not necessarily distinct, such that xi ≤ 150, 1 ≤ i ≤ 12. Prove that there are at least two different 6-element subsets S1 and S2 of A such that the sum of the elements in S1 is equal to the sum of the elements in S2.

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f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

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step-by-step explanation:

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