Chapter 8, Problem 4MCQ

To determine

To calculate: To determine if the relation is not a function when which ordered pair is added to the set

Answer to Problem 4MCQ

Relation is not a function when $\left(2,18\right)$ is added to the set

Explanation of Solution

Given information: Set of ordered pair $\left\{\left(2,11\right),\left(0,0\right),\left(6,11\right),\left(2,18\right)\right\}$

Formula Used:

A set of ordered pairs is a function when no two different ordered pairs have the same x-coordinate,

Calculation:

Set of ordered pairs is given as follows:

  $\left\{\left(2,11\right),\left(0,0\right),\left(6,11\right),\left(2,18\right)\right\}$

There are $4$ ordered pairs in the set.

Consider the ordered pairs $\left(2,11\right)$ and $\left(2,18\right)$

Since the x-coordinate is same for two ordered pairs in the set

Thus, removing any one of the will make the relation a function

Conclusion:

Hence, relation is not a function when $\left(2,18\right)$ is added to the set