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I'm going through old papers I found on the internet and found this question which has perplexed me, any help would be appreciated.

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    $(D)$ is equivalent to $x=7$2017-01-12
  • 1
    Answer is D....2017-01-12

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As commented before, $$7\in \{6,x\}\Rightarrow 7=6\;\vee\;7=x\underbrace{\Rightarrow}_{6\ne 7}7=x,$$ and now, we can conclude.