The Logic of Sets and Elements
Read this topicExplanations 2
- A set is a collection that contains some distinct objects. Sets are usually considered other objects themselves, so sets can contain other sets or themselves.
By kevin li
- Here we go! A set is a collection of well-defined, distinct objects. The objects may be numbers, alphabets or anything else, be it tangible or intangible. The objects of a set a…
By Muhammad Hamza Waseem
Problems 9
- Write the following set in roster form. H=(−1,2]H = (-1,2]H=(−1,2]
- Write the following set SSS in roster form. (Here Z\mathbb{Z}Z is the set of integers.) S={x∣x∈Z,−1<x≤2}S = \{x| x \in \mathbb{Z} , -1 < x \leq 2\}S={x∣x∈Z,−1<x≤2}
- Write the following set SSS in roster form. (Here Z\mathbb{Z}Z is the set of integers.) S={x∣x∈Z,−1≤x≤2}S = \{x| x \in \mathbb{Z} , -1 \leq x \leq 2\}S={x∣x∈Z,−1≤x≤2}
- Write the following set SSS in roster form. (Here by N\mathbb{N}N we mean set of positive integers.) S={x∣x∈N,−1≤x≤2}S = \{x| x \in \mathbb{N} , -1 \leq x \leq 2\}S={x∣x∈N,−1≤x≤2}
- How many elements does the following set, SSS, have? (Here Z\mathbb{Z}Z is the set of integers.) S={x∣x∈Z,−1≤x≤2 or 6<x≤10}S = \{x| x \in \mathbb{Z} , -1 \leq x \leq 2 \text{ or…
- Write the following set SSS in roster form. (Here Z\mathbb{Z}Z is the set of integers.) S={x2∣x∈Z,−1≤x≤2 or 6<x≤10}S = \{x^2 \mid x \in \mathbb{Z} , -1 \leq x \leq 2 \text{ or }…
- Is the following set HHH in builder notation? H={x4+x5−log(x)∣x∈N,2<x<5}H = \{x^4 + x^5 - \log(x)| x \in \mathbb{N}, 2<x<5\}H={x4+x5−log(x)∣x∈N,2<x<5}
- Is the following set HHH in builder notation? H={x8∣x∈R,2<x<1000}H = \{x^8| x \in \mathbb{R}, 2<x<1000\}H={x8∣x∈R,2<x<1000}
- Is the following set HHH in builder notation? H={x4+x20+cos(x)∣x∈N,2<x<5}H = \{x^4 + x^{20} + \cos(x)| x \in \mathbb{N}, 2<x<5\}H={x4+x20+cos(x)∣x∈N,2<x<5}