Let the relation R be defined on the set {x ∈ R | 0 ≤ x ≤ 1} by xRy ⇔ ∃t(x + t = y and 0 ≤ t ≤ 1)...

Question

Question

Let the relation R be defined on the set {x ∈ R | 0 ≤ x ≤ 1} by xRy ⇔ ∃t(x + t = y and 0 ≤ t ≤ 1) Is R transitive?

math Advanced-Math

Answer 1

Answer #1

R defined by rRy iff ョt such that and ostsi t Us suppose that and yRz turefore ョ ti ,tq e oss, such that y =z-t, _(3) also x,

Answer 2

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