Chapter 3, Problem 1T

Write a negation for each statement.

$6-3=3$

To determine

Negation for the statement, “$\begin{array}{lll}6-3\hfill & =\hfill & 3\hfill \end{array}$”.

Answer to Problem 1T

Solution: $\underset{\_}{\begin{array}{lll}6-3\hfill & \ne \hfill & 3\hfill \end{array}}$

Explanation of Solution

The given statement is “$\begin{array}{lll}6-3\hfill & =\hfill & 3\hfill \end{array}$”.

$\begin{array}{lll}6-3\hfill & =\hfill & 3\hfill \end{array}$ means that $6-3$ is equal to $3$.

The negation of ‘$6-3$ is equal to $3$’ is ‘$6-3$ is not equal to $3$’.

Therefore, the negation for this statement is given as:

“$\begin{array}{lll}6-3\hfill & \ne \hfill & 3\hfill \end{array}$”

Hence, the negation of “$\begin{array}{lll}6-3\hfill & =\hfill & 3\hfill \end{array}$” is “$\begin{array}{lll}6-3\hfill & \ne \hfill & 3\hfill \end{array}$”.