Chapter 7, Problem 1RE

In Problems 1-6, express each proposition in an English sentence and determine whether it is true or false, where $p$ and $q$ are the propositions

$p:"2^3<3^2"q:"3^4<4^3"$

$\neg q$

To determine

The proposition as an English sentence also determine whether the provided proposition, $\neg q$ is true or false.

Answer to Problem 1RE

It is written as an English sentence that “ $3^4$ is not less than $4^3$ ” and the provided proposition is true.

Explanation of Solution

It is considered that the proposition, $q$, is written as “ $3^4<4^3$ ”.

Therefore, the provided proposition, $\neg q$, is written as an English sentence that “ $3^4$ is not less than $4^3$ ”.

Since, $3^4$ is not less than $4^3$

Thus, the provided proposition is true.