Question

Which of the points on the graph is a solution for the system of inequalities y > 4x − 2 and y ≥ −1/3x + 2? Enter the x-value followed by the y-value.

Answer 1

I can’t see the graph you mean. Please either list the point coordinates shown or upload the image.

How to check each point quickly:
- For a point (x,y), compute 4x − 2 and check whether y > 4x − 2 (strict).
- Compute −(1/3)x + 2 and check whether y ≥ −(1/3)x + 2 (non‑strict).
- If both checks are true, the point is a solution.

Example: test (1, 3)
- 4(1) − 2 = 2, and 3 > 2 (true)
- −(1/3)(1) + 2 = 1.666..., and 3 ≥ 1.666... (true)
So (1, 3) would be a solution.

Send the point coordinates (or the image) and I’ll test them and give the correct x,y.