Question

The solution to 9 - 2x > 15 is either x > -3 or -3 > x. Which solution is correct? Explain how you know.

Answer 1

The correct solution is x < -3. The solution x > -3 is incorrect.

Step-by-step explanation:

To solve the inequality 9 - 2x > 15, you need to isolate the variable x. First, subtract 9 from both sides of the inequality to get -2x > 6. Then, divide both sides by -2, remembering to reverse the inequality sign because you are dividing by a negative number. This gives you x < -3 as the correct solution. The solution x > -3 is incorrect because it gives a contradiction when substituted back into the inequality.