Chapter 4.6, Problem 30PPE

To determine

Value of x makes the relation $\{(1,5)(x,8)(-7,9)\}$ a function.

Answer to Problem 30PPE

For x=-5 the relation $\{(1,5)(x,8)(-7,9)\}$ a function.

Explanation of Solution

Given data:

The relation $\{(1,5)(x,8)(-7,9)\}$

Calculation:

If the given equation is having a linear relation:

  $\begin{array}{l}\frac{8-5}{x-1}=\frac{9-5}{-7-1}\\ \frac{3}{x-1}=\frac{4}{-8}\\ \frac{3}{x-1}=-\frac{1}{2}\\ x-1=-6\\ x=-5\end{array}$

Conclusion:

For x=-5 the relation $\{(1,5)(x,8)(-7,9)\}$ a function.