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thx Prove that if A and B \\ C are disjoint, then Prove that if then A and C are

ID: 2961451 • Letter: T

Question

thx

Prove that if A and B C are disjoint, then Prove that if then A and C are disjoint. Suppose Prove that The hypothesis of the theorem proven in exercise 4 is Can you think of a set A for which this hypothesis is true? Can you think of another? Suppose x is a real number. Prove that if then there is a real number y such that Prove that if there is a real number y such that , then Prove that for every real number x, if x > 2 then there is a real number y such that y + 1/y = x. Prove that if F is a family of sets and then Prove that if F is family of sets and then Suppose that F is a nonempty family of sets, B is a set, and Prove that Suppose that F is a family of sets. Prove that if

Explanation / Answer

let x be a real number.

(y+1)/(y-2) = x

y + 1 = xy - 2x

y(1-x) = (1-2x)

y = (1-2x)/(1-x)

thus, for x not equal to 1, y exists.