Chapter 11, Problem 10SAP

To determine

To find: the value of the $b$ .

Answer to Problem 10SAP

The one possible value or b is 5.

Explanation of Solution

Given information:

The condition is given as “If $b$ is a prime integer such that $3b>10>\frac{5}{6}b$ ”.

Consider the condition.

  $3b>10>\frac{5}{6}b$

As $b$ is a prime integer. Suppose $b=3$ . Then, the inequality becomes,

  $\begin{array}{l}3\left(3\right)>10>\frac{5}{6}\left(3\right)\\ 9>10>\frac{15}{6}\end{array}$

Which is false. So, $b=3$ is not the possible value.

Now Suppose $b=5$ . Then, the integral becomes,

  $\begin{array}{l}3\left(5\right)>10>\frac{5}{6}\left(5\right)\\ 15>10>\frac{25}{6}\end{array}$

Therefore, the one possible value or b is 5.