A={x:-10<x<10,x∈ℝ}
You asked:
Given the below definition for a set:
\[\begin{align*}& A &=& \{x \mid -10 < x < 10, x \in \mathbb{R}\}\end{align*}\]Evaluate the set by simplifying it and computing its cardinality.
MathBot Answer:
The solution to the expression $\{x \mid -10 < x < 10, x \in \mathbb{R}\}$ is the interval $\left(-10, 10\right)$.
The elements of the interval $\left(-10, 10\right)$ are not enumerable, as the interval cannot be made in one-to-one correspondence with the natural numbers.
The cardinality of the expression is uncountably infinite.