To solve the inequality \(-2x + 7 > 1\), follow these steps:
-
Subtract 7 from both sides: \[ -2x > 1 - 7 \] \[ -2x > -6 \]
-
Now, divide both sides by -2. Remember that when you divide by a negative number, you must flip the inequality sign: \[ x < 3 \]
So the correct response is: x < 3.