Determine OK. (where the intersection is taken over all nEN) if K, =[ -2+

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A: For abcdDeterminant=ad-bc

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Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

A:

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: If P(A) = 0.45, P(B) = 0.41, and P(A or B) = 0.86, are A and B mutually exclusive? yes or no?

A:

Q: Prove the following statement: "Let a, b and n be integers. If n doesn't divide ab, then n doesn't…

A: The given statement is -" Let a.b and n are integers. If n doesn't divide ab, then n doesn't divide…

Q: Is each statement true for OA? Drag "true" or "false" below each statement. K True False 2JKA = MLA…

A: 1) KA = MA - True  As both are radius of the circle.

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Q: If a + 0, the degree of ax" is

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Q: 2. ADST = A

A: Given problems Complete the congruence statement using the figures provided. 1.     2.

Q: Complete the congruence statement. AJMK = A by H M %23 K J

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Q: Which additional statement would be sufficient to prove that AABC ~ ADEF ? 32 21 24 D' 36 27

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Q: | 6. ΔΑΕΒΕΔ CED Which of the following would correctly complete Statement 6?

A:

Q: Do values exist for p, q, r such that the compound expression is satisfiable? (pAqAr)V(¬qA¬r)?

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Q: The set of all numbers in the form a + bi is called the set of. also called a/an numbers. If b + 0,…

A: We have to fill in the blanks.

Q: If the pth, qth and rth terms of an A.P. are a, b and c respectively, prove that : a(q – r) + b(r –…

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Q: The transitive property of congruence states that if 2 A = ZB and z B C, then A C. O True O False

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Q: Let c, a, B be nonzero real numbers such thatc + B. Find a given that

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Q: Given the set The B= (– 4,7]N ( –1, 10) – {7}· supremum of B is

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Q: Show that if a, b are real numbers then: |a| + |b| > |a + b|

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Q: State explicitly which ordered pairs are in AxB and which are in R

A: Consider the equation

Q: ssnip

A: Given: B=abcd A=1234 AB=BA AB=1234abcd     =1×a+c×21×b+2×d3×a+4×c3×b+4×d     =a+2cb+2d3a+4c3b+4d

Q: . Given: LAOM and LMOC are supplementary. Prove: x = 50

A: To prove that x=50

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

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Q: Show that if AB={0}, then P(A)≤P(B).

A: Given that

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A: We will do both these subparts of this question for you. Solving this question requires basic…

Q: Prove the given statement: The sum of an integer and its square is even.

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Q: If a < b, is a? < b?? (Check both positive and negative val- ues for a and b.) If a < b, is a’ < b*?…

A: Inequality: If a&lt;b let us assume a=2, b=3a2=4 , b2=9Here , 2&lt;3 and 4&lt;9But if we take a=-3 ,…

Q: Let a1,..., an be real numbers. Show that ajan + aja2+ aza3 +... + an-1ªn < i=1

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Q: (b) If r23= 1, prove that R² (23) = 112=113 and 01.23 = 01 (1-12).

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Q: Prove by contrapositive: For all integers a,b and c, if a [ bc then a [ b. (J means does not divide)

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Q: Which of the following sets is open in (IR, Tu)? OR-(Q-Z) (1)"2n? nin?:nE N} R - [2,5) O 12, 5) U…

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Q: In the diagram below, prove that AKLM = AKNM. K

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Q: Prove: Let a, b, c, d be real numbers. If a &lt; b and c &lt; d, then a + c &lt; b + d.

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Q: Consider the following theorem: "The product of two odd numbers is odd." Rewrite as a conditional…

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Q: O V36 should be at 7, and 36 should be between 3 and 4 O V36 should be at 6, and V36 should be…

A: Answer : Option B i:e ; √36 should be at 6 and 3√36 should be between 3 and 4.

Q: The set of numbers in the form , where a and b belong to the set in statement 7 above and b 0, is…

A: Rational number: Rational numbers represented by ab where a and b are real number and b≠0.

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

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Q: Prove whether (p0q)0 (rO¬s) Op) and -r -p are logically equivalent or not. To fill the blank spaces,…

A: To prove the given statement is logically equivalent or not.

Q: For a natural number n, let An = {1,n, n²}. Determine 3 3 U Aj and NAj. j=1 j=1

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Q: Assume x and y are two odd numbers and Which of the following statements are true? is an integer. O…

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Q: Choose an n and m that satisfies the following statement

A: We need an example such that  n = m! Take n = 24 and m = 4  Then m! = 4! = 24 Hence , n = m!

Q: Let a1 , az , .. , a7 e N. Show that if a¡ , a2, 7| (a, + az + ... + a7) .... 2.. a7 are…

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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”.