Systems S and S' Are in Relative Motion as Indicated $\Delta$

Systems S and S' are in relative motion as indicated in the sketch. Metersticks and clocks in S' agree with metersticks and clocks in S when t = t' = 0. An observer in S' notes that two events occuring at x₁' and x₂' are simultaneous; i.e. $\Delta$ x' > 0 and $\Delta$ t' = 0 for the observer in S'. An observer in S, seeing the same two events, may find that

A) $\Delta$ x > $\Delta$ x' and $\Delta$ t > 0
B) $\Delta$ x > $\Delta$ x' and $\Delta$ t = 0
C) $\Delta$ x = $\Delta$ x' and $\Delta$ t = 0
D) $\Delta$ x < $\Delta$ x' and $\Delta$ t = 0
E) $\Delta$ x < $\Delta$ x' and $\Delta$ t > 0

Correct Answer:

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