20. Let B; = {x eR|0< x < i} for all integers i = 1, 2, 3, 4. a. B1 U B2 U B3 U B4 =? b. B1 N B2 N B3N Bị =? c. Are B1, B2, B3, and B4 mutually disjoint? Explain.

Q: 74. Prove that for any real numbers a and b, |b − a|=|a − b|.

A: Given; a and b are any real numbers Consider, L.H.S=b-aWe can write it as,=b+-a=-1-b+a=-1a-b…

Q: If all variables in the expression 5/x10y – 4x/xy represent nonnegative real numbers, then which of…

A: Given,          The expression is 5x10y9-4xxy9 .

Q: Let x be a real number. Which of the following is the same as P(Z x) c) P(Z ≤ -x) d. none of the…

A:

Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

A:

Q: Let a and b be positive integers. If ax + by = c has an integer solution (x, y), it is necessarily…

A: Consider the given equation. Find the characteristic for c if a, b are positive integers and ( x, y…

Q: Find the maximum value of a, x, +a,x, + .+ax to the condition that x +x, +. + x =1 for given…

A: We need to find the maximum value of a1x1+a2x2+a3x3+...+anxn to the condition that…

Q: 4. Evaluate 1 2 2 ||(2x+3y +z)dxdydz 0 1 1

A:

Q: In AABC, DE || BC, find x. x+2 D. 6, E x+1 C 2.

A:

Q: and B = . show that 3 -1 4] (A + B)² # A² + B² + 2AB If A =

A:

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

A:

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: III. Determine whether the statement is true or false. (Example: if B+2 10, then 4 37 is FALSE…

A: Given that:                            1. -15&lt;152. 8+3=11 Or, 5 is an even number3. 1=2 and 15 is…

Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

Q: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: 19. Which of the following properties of Real Numbers is NOT true ? * a. Vx ER, x+0 = x b. Vx, y, z…

A:

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A:

Q: a a + b Determine all values of a and b so that belongs to а 1 3 1 Span 1

A: We have

Q: What is the possible value of (ꟾ -X ꟾ - X2) if (ꟾ -2X + 9ꟾ = 3)? a. -42 b. 42 c. 30 d. -30 e. None…

A: Topic:- basic algebra

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 3. Show that all integers n ≥ 2 can be expressed as 2x + 3y for some nonnegative integers r and y.

A: Mathematical induction is a proof technique used in mathematics to establish the truth of a…

Q: 4. If x # -4, which of the following represents 2x² + 14x + 24 in simplified form? 2x + 8

A:

Q: 3. Find all r so that r-1+r-2| < 5.

A:

Q: Show that the operation * on Q – {1}, defined by a * b = a + b – ab for all a, beQ- {1} satisfies…

A:

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: prove the following statement.

A:

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

Q: The solution of 14 - x|>1 is Select one: O A. [-2, 5] O B. ]-00,-5], [-3,00[ OC.J-00,3], [5,00[ O D.…

A:

Q: Let A, B, and C are three sets, prove that Bx(AUC)=(B× A)U(B×C)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: - Show that an = is monotone. n+2n+7 "}= •

A:

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: 3 6. Let A= 0 x+1 1 x -8 x-1 For what values of x does A-¹ exist?

A:

Q: Let a be a real number. For 1 A = 2 - fınd A² . a -2 – 2a 4 + 4a 2a? – 4 -2 | - None of the others…

A: First option is correct. See the attachment.