Question

Solve for interval notation and graphing equation
6−x<3x+9<22

Answer 1

To solve the inequality 6−x<3x+9<22, solve each part of the inequality separately. The solution in interval notation is (-∞, -3/4) ∪ (-∞, 13/3).

Step-by-step explanation:

To solve the inequality 6−x<3x+9<22, we need to solve each part of the inequality separately.

1. Solving 6−x<3x+9:
2. Adding x to both sides, we get 6<4x+9. Subtracting 9 from both sides, we get -3<4x. Dividing both sides by 4, we get -3/4<x.
3. Solving 3x+9<22:
4. Subtracting 9 from both sides, we get 3x<13. Dividing both sides by 3, we get x<13/3.

Therefore, the solution in interval notation is (-∞, -3/4) ∪ (-∞, 13/3).