Chapter 1.8, Problem 5P

Tell whether each equation is true, false, or open. Explain

$-14n-7=7$

To determine

To find: Whether the equation $-14n-7=7$ is true, false or open.

Answer to Problem 5P

The equation $-14n-7=7$ is open as the value of $n$ is not given.

Explanation of Solution

Given:

The equation is $-14n-7=7$ .

Calculation:

Simplify the equation $-14n-7=7$ as follows:

  $\begin{array}{c}-14n-7=7\\ -14n-7+7=7+7\\ -14n=14\end{array}$

From the above equation, it is not possible to tell whether LHS is equal to RHS until the value of n is given. Therefore, it is an open equation.

Thus, the equation $-14n-7=7$ is open as the value of $n$ is not given.