Understanding Basic Inequalities and Interval Notation

Apuntes

The text contains several inequality expressions that need to be interpreted correctly. 1. The first expression is $-3 \leq x < 2$. This indicates that $x$ is a value that is greater than or equal to $-3$ and less than $2$. 2. The second expression is $\{x/10 > x\}$. This suggests a set of values for $x$ where the condition $\frac{x}{10} > x$ holds true. However, this condition is generally not possible for real numbers, as dividing $x$ by $10$ would typically result in a smaller value than $x$ itself. 3. The third expression is $3 < x > 7$. This is not a standard mathematical expression, as it implies $x$ is both greater than $3$ and greater than $7$ simultaneously. Typically, such expressions are not valid unless further context is provided. The list of numbers $-6, -7, -8, -9, 10, 11, 12, 13$ appears to be separate from the inequalities and does not directly relate to the expressions provided.