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

True/False

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.
- $$\left( \frac { 11 } { 12 } - \frac { 23 } { 12 } \right) \in \{ x \mid x \text { is an integer } \} \text { and the value of } 1 x ^ { 2 } ( x + 11 ) - 1 ( x + 11 ) x ^ { 2 } , \text { for } x = 100 \text { is } 0$$