Chapter 1.3, Problem 9OE

To determine

To translate: given statement and then find the solution.

Answer to Problem 9OE

  $x=5$

Explanation of Solution

Given information: three more than twice a number is 13 and over the domain $\left\{1,3,5,7,9\right\}$

Calculation:

The required translation of the word statement is as follows:

  $2x+3=13$

Solve for $x=1$ , to get

  $\begin{array}{c}2\cdot 1+3=13\\ 2+3=13\\ 5\ne 13\end{array}$

So given value is false.

Solve for $x=3$ , to get

  $\begin{array}{c}2\cdot 3+3=13\\ 6+3=13\\ 9\ne 13\end{array}$

So given value is false.

Solve for $x=5$ , to get

  $\begin{array}{c}2\cdot 5+3=13\\ 10+3=13\\ 13=13\end{array}$

So given value is true.

Solve for $x=7$ , to get

  $\begin{array}{c}2\cdot 7+3=13\\ 14+3=13\\ 17\ne 13\end{array}$

So given value is false.

Solve for $x=9$ , to get

  $\begin{array}{c}2\cdot 9+3=13\\ 18+3=13\\ 21\ne 13\end{array}$

So given value is false.

Therefore, for given equation, the solution is $x=5$ .