what can be the value of x so that the ordered pair X comma 13 is located in quadrant ll

3 answers

To determine the value of \( x \) such that the ordered pair \( (x, 13) \) is located in the second quadrant, we need to consider the properties of the coordinates in the quadrants of the Cartesian plane.

In the second quadrant:

  • The \( x \)-coordinate must be negative.
  • The \( y \)-coordinate must be positive.

Since the ordered pair is \( (x, 13) \), we see that:

  • The \( y \)-coordinate is 13, which is positive. This satisfies the requirement for the second quadrant.
  • Therefore, for the ordered pair to be located in the second quadrant, the \( x \)-coordinate must be negative.

Thus, the value of \( x \) must be any negative number. In mathematical terms, \( x < 0 \) will place the point \( (x, 13) \) in the second quadrant.

what can be the value of x so that the ordered pair X comma 13 is located in quadrant ll

For the ordered pair \( (x, 13) \) to be located in the second quadrant, the following conditions must be satisfied:

  • In the second quadrant, the \( x \)-coordinate is negative.
  • The \( y \)-coordinate is positive.

In this case, the ordered pair is \( (x, 13) \):

  • The \( y \)-coordinate is 13, which is positive. This indicates that the \( y \)-coordinate condition is satisfied.
  • To satisfy the condition for the second quadrant, the \( x \)-coordinate must be negative.

Therefore, the value of \( x \) must be any negative number. In mathematical terms, this can be expressed as:

\[ x < 0 \]

So, any value of \( x \) that is negative (such as -1, -2, -3, etc.) will satisfy the condition that the ordered pair \( (x, 13) \) is located in the second quadrant.