Use graphs to find the set : [3, ∞) ∩ (6, ∞)

Q: Describe the set of numbers that satisfy the following condition: -x is positive

A: the given condition is that -x is positive. this implies x is negative.

Q: Use graphs to find the set. (-5,0) N[-4,3]

A: Given: The given set is (-5,0)∩[-4,3]

Q: Use graphs to find the set : (-4, 0) ∩ [-2, 1]

A: We graph both intervals together on a number line. Concept used:  ∙ Point included⊙Point excluded…

Q: Express each interval in set-builder notation and graph:a. [-2, 5)    b. [1, 3.5]     c. (- ∞, -1).

A: For closed brackets the equality sign hold. For the open brackets the equality sign will not hold.…

Q: 2 > ]x – 4| X-1

A: Given,          2x-1≥x-4

Q: Express each interval in set-builder notation and graph: (-4, ∞).

A: Given interval

Q: Use graphs to find set. (-3, 0)∩[-1, 2]

A: The given sets are We need to find the intersection of these two sets using graphs.

Q: Write the set in set-builder notation (in terms of x) and in interval notation. Part 1 out of 2…

A: Given:

Q: Find the interior, boundary, and closure for each of the following sets. Also specify whether the…

A:

Q: Express each interval in set-builder notation and graph:a. (-1, 4]      b. [2.5, 4]     c. (-4, ∞).

A:

Q: Use graphs to find each set:a. [1, 3]⋂(2, 6)       b. [1, 3] ∪ (2, 6).

A: (a) Consider the given set as Graph of [1,3] Graph of (2,6) So, [1, 3]⋂(2, 6) is Thus,

Q: The boundary of a set is equal to the boundary of the complement True O False O

A: A point of a set is called boundary points if any neighbourhood of this point contains point of the…

Q: Express each interval in set-builder notation and graph: a. [-2, 5) b. [1, 3.5]

A: Now set-builder form is, The graph is,

Q: Express the given interval in set-builder notation and graph the interval on a number line: (3, ∞)

A: Definition: Set builder notation is a set of all numbers that are represented by a particular…

Q: Express the given interval in set-builder notation and graph the interval on a number line : (1, 6]

A: (1, 6] In the given interval, 1 is open and 6 is closed. Therefore the given consists of set of all…

Q: Denote the set using the listing method {x| x is reciprocal of a positive odd number

A: The set of positive odd numbers are as follows: 1,3,5,7,9,11,13,15,17,19,21,23,……… Given a real…

Q: find the domain and range in set builder notation. 6)

A: topic - Domain and range of a function domain: input values of a function range : output values of a…

Q: Use graph to find  set. (-2, 1] ∪ [-1, 3)

A: Given set is  (-2, 1] ∪ [-1, 3) The graph for the given set is as shown

Q: Use graph to find  set. [1, 3) ∩ (0, 4)

A: Given set is  [1, 3) ∩ (0, 4) The graph of the given set is as shown

Q: Express the given interval in set-builder notation and graph the interval on a number line: [-5, ∞)

A: Given interval is [-5,∞) Here, x∈R value of x is from -5 to infinity, where -5 is included. In set…

Q: The boundary of a set is equal to the boundary of the complement) True or false

A: (The boundary of a set is equal to the boundary of the complement) True or false

Q: Use graphs to find the set : [2, ∞) ∩ (4, ∞)

A: The given set is [2, ∞) ∩ (4, ∞).

Q: Find the sets of dominant vertices

A: The graph given is as follows:

Q: Describe the set as a union of finite or infinite intervals { X : I 2x + 4 I > 3}

A: Given set is x:2x+4>3

Q: Find a topology in which the point x = 5 is an open set.

A:

Q: Use the extension of set-builder notation concepts and the roster method to write the given set. D =…

A: Here D=3x2-2 and x∈ℕ,x<5, that is x takes the values 1,2,3,4.

Q: Give your answer as a list of vertices, starting and ending at vertex A. Ex

A: Here first we start from vertex A , and go to the other vertex whose weight is least , then from…

Q: Use graphs to find the set : (- ∞, 6) ∪ [2, 9)

A: The given set is -∞,6∪[2,9).

Q: Give the domain of y=√2-x using set builder notation

A: We know For a real valued function y=f(x) if domain of f(x) is D then domain of y is {x∈D: f(x)≥0}

Q: Find the number of subsets of the given set. (x|xEN and 7<x<12}

A:

Q: Use graph to find set. [3, ∞)∩ (6, ∞)

A: We have to find set using graph for given interval notation: [3, ∞)∩6, ∞ Here there are two set…

Q: Express the set using the Roster Method: {x|x X eN and x)53

A: GIVEN XX∈N and  X&gt;5

Q: Construct the intersection graph of the following collection of sets: A - (0.±2,+4. 16. 18....)

A:

Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Set builder notation is represented as Interval notation, and it is a way to define a set of numbers…

Q: What is the set R of all real numbers?

A: Real numbers are the numbers which include both rational and irrational numbers. A real number is a…

Q: Write the set T={ x | x ER, x²=4 or x² = 25} in list form.

A: A set, in its list form, lists all its elements separated by commas within a pair of curly-braces .…

Q: Express the given interval in set-builder notation and graph the interval on a number line: (2, ∞).

A: Express the given interval in set-builder notation as shown below: x|x&gt;2

Q: Specify the set A by listing its elements, where A = {x: x is a whole number less than 100 and…

A: As per out guidelines we can answer only 1 question. Please repost the remaining questions…

Q: Use graph to find set. [2, ∞)∩ (4, ∞)

A: Use the graph to find [2,∞)∩(4,∞)

Q: Find and graph each set:  (-2, 0) U (-1, 1)

A: We have to find and graph for the given set :(-2,0)U(-1,1).

Q: Use graphs to find the set : (-2, 1] ∩ [-1, 3)

A: Given: (-2,1]∩[-1,3)

Q: Express the given interval in set-builder notation and graph the interval on a number line : (-2, 4]

A:

Q: Identify the sets represented by each of the shaded areas below, using the set notation symbols

A: Given,

Q: Use graphs to find the set : [1, 3) ∪ (0, 4)

A:

Q: A collection of open sets in R with the standard topology whose intersection is not open.

A:

Q: Use graphs to find each set:a. (1, 4) ⋂ [2, 8]      b. (1, 4) ∪ [2, 8].

A: 1, 4∩2, 8 Now the graph of 1, 4 is, The graph of 2, 8 is, From both the graphs, we can observe…

Q: Express the given interval in set-builder notation and graph the interval on a number line : [-2, 5]

A: Consider the given interval, -2,5 the set is a collection of the object. the set-builder notation is…

Q: Interpret the graph following in the context of (a) a number line (b) 2-Space (c) 3 - Space 1. Y= x…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.