For Exercise, write the set as a single interval. |(-0, 2) N (-3, 4] n [1, 3]

Q: Express the interval as an inequality in the variable x.

A: (-∞,2]

Q: For Exercise, write the set as a single interval. [(-, -2) U (4, o)]N (-5, 3)

A:

Q: What is the statement x > -6 in interval notation? O (-0-6) O (-6]

A: NOTE: Refresh your page if you can't see any equations. .

Q: Represent the set using listing method. {x € N, such that a? +7x = 0} O {0, –7} O {0, 7} {0,7} O {0}

A: The given set is x∈N, such that x2+7x=0.

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: The inequality, x ≤ 4, written in interval notation is : 1. (-∞,4) 2. [-∞,4) 3. (-∞,4] 4. [-∞0,4] O…

A: Inequality: A mathematical expression in which both sides are not equal is called an inequality. We…

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A={x|4>x},…

A: Given:

Q: What is the natural domain?

A:

Q: Fill in the blanks in the following sentence: If A and B are any sets, then by definition of set…

A:

Q: . On what intervals is -3r 2 +4 <0? State your answer as an inequality or interval.

A:

Q: Describe the set as a union of finite or infinite intervals {x : Ix - 4 I &gt; 2}

A: x:x-4&gt;2

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: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: For Exercise, write the set as a single interval. [(-0, 6) U (10, o)] N [8, 12)

A: We will draw them on a number line. Draw:

Q: Give an example of numbers x, y such that |x| + |y| = x − y.

A: Given that: give an example of numbers x, y such that |x| + |y| = x − y.

Q: 6 All open sets are bounded.

A: Some times true

Q: Which interval notation describes the set S= {x | 1s x < 10}? 1. [1,10] 2. (1,10] 3. [1,10) 4.…

A:

Q: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: Write the set {x | x > 1} in interval notation. Choose the correct interval. O A. (-o. 1) O B. [1,…

A:

Q: Use any method you choose to shc are sets.

A:

Q: For Exercise, find the domain. Write the answer in interval notation. p + 1 k(p) p² + 4

A:

Q: Let U = (−∞,∞), A = [−1, 6], B = [−6, 2). In interval notation, determine A ∩ B. And in interval…

A:

Q: What is meant by the term open interval in sets? Give example.

A: Open interval means it does not include the end values of the given set.

Q: For Exercise, write the set as a single interval. [(-0, -2) U (4, c0)] N [-5, 3)

A: We draw  on a number line

Q: Consider the set X = {x € R¹ / 93x₁ +34x2 +26x3 + 18x4 ≤ 131, X1, X2, X3, X4 = {0, 1}}. Show that x₁…

A: (a) It is given that x=x1,x2,x3,x4 such that 93x1+34x2+26x3+18x4≤131 and x1,x2,x3,x4∈0,1. So, the…

Q: the average vake of xPe-ax aved the interval [-1,1] 3.-2x

A:

Q: Find all the real numbers x which satisfy the inequality 1 7— 2х (2л — 7)2 and carefully sketch the…

A:

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

A: Given set is x:2x+4&gt;3

Q: Describe the set as a union of finite or infinite intervals. {x : |x − 4| &gt; 2}

A: can be written as x-4&gt;2 or x-4&lt;-2

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

A: Given we have to express each interval in set builder form

Q: in the interval [-5,5] A. x= -2 C. x= 2

A: Given,       f(x)=13x3-4x

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A={x|4&gt;x},…

A:

Q: sets C and D are sets of real numbers defined as follows. C={y|y&gt;4} D={y|y≤5} Write C∩D and C∪D…

A: The given sets are C={y|y&gt;4}D={y|y≤5}

Q: Express each interval in set-builder notation and graph: а. (-1,4] b. [2.5, 4] c. (-4, 0). С.

A: To express in set builder forma)(-1,4]b)[2.5,4]c)(-4,∞)

Q: Express the set -3x + 21 < 4x + 7 using interval notatic

A:

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: Q1) Find the intersection of all the following nested intervals / (-1-4.1+ 4). 121 [1-1). /3/ (0.).

A: There are three nested intervals are given, we have find its intersection

Q: In the set R2, describe the sets S1 = {r € R? : ||r|| < 1}, Sx = {r € R² : ||-, < 1}.

A:

Q: For Exercise, graph the set and express the set in interval notation. {|= } 9. 2.

A: -9/2= -4.5 So, Draw a number line. There mark the right side of -4.5

Q: Describe the set as a union of finite or infinite intervals.  {x : |x 2 -1 | &gt; 2}

A: can be written as x^2-1&gt;2 or x^2-1&lt;-2

Q: Write the set using interval notation : {x |x < 2 and x + +1} (hint : graph the set on a number…

A:

Q: Exi meaning collecting of x set

A: The objective is to state whether the given statement is true.

Q: Express the statement as an inequality. y is nonnegative.

A: The given statement is  y is nonnegative.

Q: X - (Y UZ) = (X – Y)nZ°

A: Assume that X, Y and Z are sets. Prove that, X-Y∪Z=X-Y∩ZC. That is, a∈X-Y∪Z⇒a∈X-Y∩ZC  and…

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A = {x|4 > x},…

A:

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: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

A: