How do you solve - 2x > 6?

To solve the inequality -2x > 6, follow these steps:

Step 1: Isolate the Variable

First, you want to get the variable x by itself. Start by dividing both sides of the inequality by -2. Remember, when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign.

Step 2: Perform the Division

Dividing both sides by -2 gives you:

x < -3

Step 3: Interpret the Solution

This means that x can be any number less than -3. You can express this solution in interval notation as:

• (-∞, -3)

Summary

The solution to the inequality -2x > 6 is x < -3, indicating that x must be less than -3.