4
algebra

Solve the system: y>x2y > x^2 and y<4y < 4. (Non-linear preview)

A

Region between the parabola y=x2y=x^2 and line y=4y=4

B

Region outside the parabola y=x2y=x^2 and below y=4y=4

C

Region above y=4y=4 and inside parabola

D

No solution

Correct Answer: A

Choice A is the correct answer. Visualize the regions.

  1. y>x2y > x^2: Region "inside" or above the parabola opening up.
  2. y<4y < 4: Region below the horizontal line y=4y=4.
  3. Intersection: The bowl-shaped region bounded below by the parabola and above by the line.

?�� Strategic Tip:y>f(x)y > f(x) is above the graph, y<f(x)y < f(x) is below.

Choice B is incorrect because outside/below the parabola is y<x2y < x^2. Choice C is incorrect because above y=4y=4 is y>4y > 4. Choice D is incorrect because the regions clearly overlap (e.g., point (0,1)(0, 1) works).