To solve the inequality \(-2x + 7 > 1\), follow these steps:
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Subtract 7 from both sides of the inequality:
\[ -2x > 1 - 7 \]
\[ -2x > -6 \]
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Now, divide both sides by -2. Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign:
\[ x < \frac{-6}{-2} \]
\[ x < 3 \]
So, the solution to the inequality is:
\[ x < 3 \]