Final answer:
To solve the inequality 1 - 2x > 3, subtract 1 from both sides to get -2x > 2, then divide by -2 and flip the inequality sign to get x < -1. The number line will show values to the left of -1 with an open circle at -1.
Step-by-step explanation:
To solve the inequality 1 - 2x > 3, follow these steps:
- Subtract 1 from both sides to get -2x > 2.
- Divide both sides by -2 remembering that dividing by a negative number reverses the inequality, to get x < -1.
The corresponding number line would show all the numbers to the left of -1, with an open circle at -1 indicating that -1 is not part of the solution set.