-2x + 7 > 1(1 point)

1 answer

To solve the inequality \(-2x + 7 > 1\), follow these steps:

  1. Subtract 7 from both sides of the inequality:

    \[ -2x > 1 - 7 \]

    \[ -2x > -6 \]

  2. 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:

\[ x < 3 \]