5 Questions
Define the meaning of the symbol $x\in S$, and provide an example of an expression utilizing this symbol.
The symbol $x\in S$ denotes that $x$ belongs to the set $S$. For example, if $S = {1, 2, 3}$, then $2\in S$ is true, while $4\in S$ is false.
Explain the concept represented by the symbol $a\leq b$, and give an example of two numbers that satisfy this condition.
The symbol $a\leq b$ indicates that $a$ is less than or equal to $b$. For instance, $3\leq 5$ is true, while $7\leq 3$ is false.
What is the meaning of the symbol $\min{x, y}$, and provide an example of its application.
The symbol $\min{x, y}$ represents the minimum value between $x$ and $y$. For example, $\min{3, 6} = 3.
Explain the concept denoted by $a_k + a_{k+1} + \cdots + a_m$, and provide a general expression for this concept.
The expression $a_k + a_{k+1} + \cdots + a_m$ represents the sum of terms from $a_k$ to $a_m$. In general, $\sum_{i=k}^{m} a_i$ denotes this sum.
Define the meaning of the symbol $n!$ and provide an example calculation.
The symbol $n!$ denotes the factorial of $n$, which is the product of all positive integers from 1 to $n$. For instance, $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120.
Test your knowledge of mathematical symbols with this quiz. Identify and match symbols to their corresponding meanings, including sets, inequalities, functions, and arithmetic operations.
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