By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false.
-$$\left( \frac { 11 } { 12 } - \frac { 23 } { 12 } \right) \in \{ x \mid x \text { is an integer } \} \text { and the value of } 1 x ^ { 2 } ( x + 11 ) - 1 ( x + 11 ) x ^ { 2 } , \text { for } x = 100 \text { is } 0$$

Question

Quizplus · Accepted Answer

The first part of the statement evaluates to $\frac{11}{12} - \frac{23}{12} = -1$, which is an integer, making the first part true. The second part simplifies to $100^2(100+11) - 1(100+11)100^2 = 0$, which is also true. Since both parts are true, the "and" statement is true.

By Definition, an "And" Statement Is True Only When the Statements