Question

True or False The point $(-1,4)$lies in quadrant IV of the Cartesian plane.

Short answer

The given statement is false.

Step-by-step solution

Step 1. Given information.

The given statement is:

The point $(-1,4)$lies in quadrant IV of the Cartesian plane.

We need to check whether the given statement is true or false.

Step 2. Determine whether the statement is true or false.

In quadrant I, both coordinates are positive.

In quadrant II, the x-coordinate is negative and the y-coordinate is positive.

In quadrant III, both coordinates are negative.

In quadrant IV, the x-coordinate is positive and the y-coordinate is negative.

In the point$(-1,4)$, the x-coordinate is negative and the y-coordinate is positive. It means the point lies in quadrant II.

Step 3. Conclusion.

The given statement is false.