Fill in the blanks in the sentence below so that the resulting statement is true. ..... The ordered pair (5,4) is alan of the inequality x + y > 2 because when 5 is substituted for v and 4 is substituted for V the true statement is obtained.

Q: Let B={x∈R|x5∈Q} be a set. Is B countable? Justify the answer by showing the explicit formula for…

A:

Q: Which postulate justifies the statement AX + XC = AC?

A: Given-  To find- The postulate which justifies the statement AX+XC=AC.

Q: Determine whether the statement, 'If r > 1, nPr is less than nCr', is true or false. If the…

A: The formula of permutation and combination. Crn=n!r!n-r!Prn=n!n-r!

Q: Which statement is true? A) All similar figures are congruent. B) All congruent figures are similar.…

A: we have to select one

Q: LetP(A) = 0.10, P(B) = 0.20, and P(A∩B) = 0.02. Are A and B mutually exclusive? Justify your result…

A:

Q: A. Fill in the correct inequality symbol in the blank provided: 1. If AM is the median of BC of AABC…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The multiplication property of equality states that if a b and c + 0, then ac

A:

Q: (a) Prove that if A and B are open, then A+ B is open.

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: B D C What reasons complete the proof of ZB2 LC? Drag the phrases to the empty boxes to correctly…

A:

Q: Jennifer is proving the Pythagorean theorem. According to the proof writing guidelines, Jennifer…

A: Given,    We need to state whether the statement is true or false.

Q: State all integer values of x in the interval [-1, 5] that satisfy the following inequality: 5x – 5…

A: 5x -5 <-2      Interval -1 , 55x -5 <-25x -5+5 < -2+5         Adding 5 on both…

Q: Z Let AABC and ADEF have corresponding pairs of sides which are parallel. Say, AB || DE,BC || EF, AC…

A: given triangles are    △ABC  and   △DEF Also,       AB||DE,   BC||EF,   AC||DF yes it follows that…

Q: Write a proof for the following statement: (Use direct, contrapositive, or proof by contradiction.)…

A: We have to prove the given statement.

Q: Use the laws of set theory to solve both items! (AnB)U[Bn(CnD)U(cn)| А. AO(B A) | В.

A: (A)  (A∩B)∪[B∩((C∩D)∪(C∩D¯))] as (C∩D)∪(C∩D¯)  =((C∩D)∪C)∩((C∩D)∪D¯) ( by using De-morgan's…

Q: 1. What is the correct symbol to make the mathematical statement 4x - 8y 16 a linear equality? a. =…

A: As per our guideline we are supposed to answer only one question

Q: Part A: Complete the following statement to determine the length of JN for A JMN to exist. < JN <…

A:

Q: he negation of the statement  "For all x € R , X^2 greater than and equal 0" is the statement "for…

A: Here first we write the given statement:

Q: (k) If x, y, and z are integers and xylz, then x|z and ylz.

A:

Q: the A= {1,2,3} is equal to the set {x: (x - 3)(x2 - 3x + 2) = 0} True O False

A:

Q: The transitive property of equality states that if AB = BA, then BA = AB. %3D %3D O True O False

A:

Q: Determine whether the following argument is valid or invalid. If it is valid, write a formal proof.…

A: Which is the conclusion.

Q: Given: AB <CD Prove: AC=BD А В С B CD, STATEMENT REASONS ВС-ВС 2. Given Reflexive Property 3. AB <…

A: Given, AB&lt;CD To prove AC=BD This is proved using the geometrical identity.

Q: b. Using Taylor's Inequality, showing all work.

A: To find the accuracy to the given approximation of ex we have to find the maximum error bound. And…

Q: State the rule of inference by which its conclusion follows from its premise or premises. - (J · K)…

A: Given: ~J . K . L⊃ ~M∴ ~J . K

Q: Prove by contrapositive the following statement is true: Let y e Z. If y- 6y + 5 is even, then y is…

A: We will prove the given statement by contrapositive.

Q: Show that these three statements are equivalent, where a and b are real numbers: (i) a is less than…

A:

Q: Indicate for which natural numbers n the given inequality is true. Prove your answers by induction.…

A:

Q: 6. Use the hinge theorem and the diagram below to choose the statement which must be true. 12 10 A.…

A:

Q: Q6) In R³, which of the following propositions is false. A) What pierces one of the two parallel…

A: We know the intersection of two planes is a line.

Q: Show work to justify your answer. Which of the given values will make the inequality n-93 > 175…

A: Given that the inequality is            n - 93 &gt; 175 Here we have to find for which values on n…

Q: Consider the construction shown below. Which of the following statements can be used to describe the…

A: Observation: It can be seen from the figure that the line AB is parallel to the line JL. The arc is…

Q: Let a, m be real numbers. Applying Triangle inequality to u = (m, 0,1,2) and v = (a, -1,-1,0), we…

A:

Q: (b) Consider the statement: For all x, y, z ∈ Z. At least one of x− y, x− z and y − z is even. (i)…

A: Steps in roadmap for proof by contradiction for the given statement are: Step1: Assume that…

Q: Prove the inequality V1+æ – 1 –+ < 6 on [0, 0). 8

A: Consider the given inequality in the given interval. Use the graphical approach to prove the…

Q: The first order formula Va P(x) Q(z) is true regardless of the domain of discourse. O False O True

A: Given: ∀x P(x)→Q(x) is true regradless of the domain of discourseis true or false

Q: The symmetric property of equality states that if a number equals a second number, then the second…

A: True is correct answer. Symmetric property of equality - If a = b the b = a Eg.  x = 10 the 10 = x…

Q: Which of the following proofs makes use of arrows in the proof? Flow proof Paragraph proof…

A: The answer is given below

Q: Translate these statements into English, where R(x) is "x is a rabbit" and H(x) is "x hops" and the…

A:

Q: State all integer values of x in the interval 3, 9 that satisfy the following inequality: 4x – 7< 11

A: Given : 4x -  7 ≤ 11

Q: Identify the axiom or postulate that applies to the following statement.     If  x = AB + CD + EF +…

A: We have used the axioms here......

Q: Let the universe of discourse be NBA players (active and retired), C(x) mean "x has won an NBA…

A:

Q: nplify the following using De Morgan's and justify your answers using Venn Diagram a. ((A' n B)' U…

A: According to De Morgan Law theorem, (AUB)'=A'∩B'

Q: For "x is in the symmetric difference of A and B" give an equivalent statement that uses "x is in A"…

A:

Q: 1. Which property of equality allows you to conclude that the following is true? If mZD mE and mZE…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Name the axiom of equality illustrated in each case. a) If AB is the numerical length of the line…

A: Part (a) AB=AB numerical length Using symmetric axiom AB=AB   ...1 Also by definition of line…

Q: 5. In Algebra you are taught that for any real numbers a > 0 and a that the inequality -a <x < a is…

A: The solution are next step

Q: arrive

A:

Q: Prove the inequality b−ab≤lnba≤b−aa provided 0&lt;a≤b.

A:

Q: Use proof by contradiction to prove the statement.If a and b are real numbers and 1 &lt; a &lt; b,…

A: Given : a and b are real numbers and 1 &lt; a &lt; b   To prove :     a-1 &gt; b-1   We prove the…

Q: 2 a' b? 6(a +b)? – 12ab >22 2 Prove if a,b >0 then 5. 2 b? ab Inequality of arithmetic and geometric…

A: Prove that :- 5a2b2+b2a2+6a+b2-12abab≥22 where a,b&gt;0