some colleagues heave a deep sigh.

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This is where some colleagues heave a deep sigh. Saari’s claim is true in the way that he chooses to define it. To manipulate a vote, you need a near-tie where just a few votes can change the outcome. --from<Gaming the Vote:Why Elections Aren’t Fair> By William Poundstone
What does the 'heave a deep sigh' here means? Does it means 'disagree'? many thanks.
  • Thomas Veil

    Senior Member
    English - USA
    A "sigh" is basically a deep breath. It can express exasperation or relief. I read it as that Saari's claim is true in only limited circumstances, which may have relieved people. It would take more context to know for certain.
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