Question

Which of the following system of nonlinear inequalities is graphed below?

 

Answer 1

From the graph,

• The boundary lines are dashed lines, so the two inequalities has either less than (<) or greater than (>).
• The boundary lines are represents ellipse and parabola.
• Major axis of the ellipse is horizontal and its equation is x²/a² + y²/b² = 1.
• Parabola with horizontal axis and its equation is x = ay² + by + c.
• The solution set color is orange and test point is (- 4, 0).

From the above conclusion, the option A (or) B correct answer.

Test point (- 4, 0) is used only for parabola inequality in the two options, because the two options has same ellipse inequality .

Substitute (x, y) = (- 4, 0) in the option A parabola inequality.

(- 4) > (0)² - 3

- 4 > - 3.

The above statement is false, the option A is not correct.

Substitute (x, y) = (- 4, 0) in the option B parabola inequality.

(- 4) < (0)² - 3

- 4 < - 3.

The above statement is true, the option B is correct.

The option B is correct.