Problem 78 - College Algebra

Question

List the quadrant or quadrants satisfying each condition. $$x^{3}<0 \text { and } y^{3}>0$$

Step-by-Step Solution

Answer

The quadrant satisfying the conditions \(x^3 < 0\) and \(y^3 > 0\) is Quadrant II.

Step 1: Identify the sign of x and y

From the equation \(x^3 < 0\), the value of x is negative. From the equation \(y^3 > 0\), the value of y is positive.

Step 2: Identify the quadrant based on the sign of x and y

The quadrant where x is negative and y is positive is Quadrant II. Therefore, the solution to this problem is Quadrant II.