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

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: What is the power set of X? How is it denoted?

A: The power set of a set X, is defined as the set of all subsets of  Set X including null set. It is…

Q: Write the following in interval notation {x €R: |x-1| < |x- 3|}- For example, an answer of), 4,…

A: Given,           x∈ℝ : x-1&lt;x-3

Q: O Find the domain of

A: As per the bartleby guidelines , for more than one part only one has to be solved. Please upload the…

Q: Determine whether the statement is true or false for all x > 0, y > 0.

A: a.)logbxlogby = logbx-logbyThis is wrong statement.The correct statement is given by formula -…

Q: 2 > ]x – 4| X-1

A: Given,          2x-1≥x-4

Q: What is the natural domain?

A:

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

A: Given interval

Q: . (x) = x3 – 3

A:

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

A: Given:

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

A:

Q: Express the set -3x + 21≤ 4x + 7 using the interval notation.

A: Given: -3x+21≤4x+7 For finding solution set of given expression, we use transportation then simplify…

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: Represent the set using listing method. {x E N, such that x + 6x = 0} None of these {0, -6} O{0}…

A: The given set is     { x ∈ N , such that x2 + 6x = 0} We represent the set into listing method.

Q: Prove the equality:

A:

Q: Consider the set {x|x less than or equal to -3} (in set-builder notation)

A:

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: 4 X - 3 V/

A: Given inequality: 4x-35≤x+72

Q: Check whether each satisfy a relation property: (ex, transitivty, etc ): > = " < 9 for real numbers

A:

Q: find the natural Domain and vange D y= Janzs

A: We have to find the domina and range of the function 1. y=x2-362. y=-x32

Q: Express the given interval in set-builder notation and graph the interval on a number line : [-4, 3)

A: To express the given interval in set-builder notation and graph the interval on a number line.

Q: The domain and the rang -2 of the 1- Exp (- x) are

A:

Q: d) The set of real numbers, with addition defined by x + y %3D х - у

A:

Q: What is the domain?

A: Given

Q: Verify the relations (5).

A:

Q: Find a pair of values (x, y) that serve as a counter-example for the statement that [ry] : |x||y for…

A: The ceiling function gives smallest integer that is greater than the number, that is, x is the…

Q: Determine the domain of the following

A: Given,

Q: Find Domain and R ange X-x

A:

Q: find the domain and Qany f メー メー

A: on solving this we get

Q: Je fine a binary relation Rond by R= [(y)] ER² x ус

A: Given is : R={(x,y)}∈R2:x-y∈Q We have to show that it is an equivalence relation.

Q: Express the given interval in set-builder notation and graph the interval on a number line : [-3, 1]

A: Given-  -3,1 To express-  The given interval in set-builder notation and graph the interval on a…

Q: Which set represents the same relation as the gra 4 2- 6-5-4-3-2-1. 1 2 3 4 56 2. -3. 寸 LO CO ....…

A: Given graph is

Q: Determine if the relation defines y as a ône-to

A: The given graph is: To determine if it is one-to-one.

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

A: GIVEN XX∈N and  X&gt;5

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: Use set builder notations to prove that:  (a) X ⊕ Y = (X ∪ Y ) − (X ∩ Y ),           (b)(Y −X) ∪ (Z…

A: We have to prove the following using the set builder notation: (a) X⊕Y=(X∪Y)−(X∩Y) (b)…

Q: Make q the subject of the relation n-9 %3D

A:

Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: State the domain and range in interval notation and set builder notation of the following graphs. 6…

A: @

Q: 7ー3(xナ4)> (- x) € アー(xナ) > ct3[a-)+X 6+ 3

A: The set notation of inequality in a single variable is obtained by isolating the variable on one…

Q: Express each interval in set-builder notation and graph: [2.5, 4]

A: Given interval is 2.5,4. Set-builder notation method is used to represent the a set of numbers.…

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

A:

Q: For the following graph of fx) fill in the table below: (--) (7-) Concavity

A: Where a range of x is given we have to find wheather f(x), f'(x), f''(x) &amp; Concavity is positive…

Q: x² + 2x – 12

A: Given that : The inequality x 2 + 2x - 12 &lt; 0.

Q: (4) find what is the domain

A:

Q: What is the possible number of reflexive relations on a set of 5 elements?

A: Introduction : We have give a set of 5 elements , we have asked for the number of reflexive…