Suppose you want to refute the statement:  For all natural numbers a, b, and c, if a | b and a | c then (b+c) | a.  Which of the following would be an appropriate strategy for you to employ? Group of answer choices Show specific values for a, b, and c where a | b, a | c, and (b+c) | a. Show specific values for a, b, and c, where (b+c) | a but either it is not true that a | b or it is not true that a | c. Show specific values for a, b, and c where a | b and a | c and (b+c) does not evenly divide a. Show for any generically chosen values of a, b, and c where a | b, a | c, and (b+c) | a. Show for any generically chosen values for a, b, and c, where (b+c) | a but either it is not true that a | b or it is not true that a | c.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: If a = +, what is the value of 1 ? O A. X+y о в. a + y ry O C. ry D. x? + y?

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Q: For "x is in A minus B" give an equivalent statement that uses "x is in A"  and "x is in B"

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Q: 1.) Let 024 A = 655 10-3 052 B = 534 -2 4 -2 52 C = -24 (10) -4 1 D = 50 2-1

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Q: For any set of numbers, one-half of them is less than mean, is it "True" or "False"? O True O False

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Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: 6.) If x =3, what is the value of the following expression? 3x + 2

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: DIRECTION: GIVE THE RIGHT ANSWER OF THE FOLLOWING QUESTIONS: 1. What is the value of 8!? 2.  A…

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Q: 3.) Use the number line below to answer the question that follows. Which of the following…

A: We have to find out

Q: For the AP -3 , -7 ,-11 ... can we find directly a30-a20 without actually finding a30 and a20 ? give…

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Q: THree-way combinations are things like this : If [A is true and B is true ] OR [if B is true and C…

A: Given Statements:If A is true and B is true                  ORIf B is true and B is falseWe need to…

Q: 3. If AC = 26x-18 and BC = 23-2x, which expression represents AB? A B C

A:

Q: 5. Rewrite using absolute value notation. 1 2 4 b) 4-3 3 4 4-3-2-1 1 2 3 0 1 2 3

A:

Q: Illustrate the following on a number line:a. |x|=4b. |x|c. |x|>4

A: Part a. For |x|=4 x =+4 and x=-4 are the two values of x on the number line.

Q: Express the following statement using N-notation.: 12.5 (3x + 4) for all real numbers x > 2. x + 2

A: In the given question the objective is to express the following statement using notation

Q: If 2x – y - y 4 then x + y is 0 5 Select one: О а. 3 O b. 5 O c. O d. 2

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Q: Which of the following have meaning (or are meaningful)? c(a - 5) |2|+12|

A:

Q: Let A = 32 -2 1 and B = OA. K= 13 -3 k What value(s) of k, if any, will make AB = BA? Select the…

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Q: sets A and B, n(A U B) = 84, and n(A n B) = 12, and n(B) = 45. Find n(A). symbolic formatting help

A: Cardinality of a set

Q: A.Determine whether the following are even or odd: a. 16 +12 b. 14 +5 c. 13 + 15 B.Now use your…

A: (A)  a=16+12

Q: For the next 3 questions, write the elements of the set of your answer in ascending order. Let A =…

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Q: if x+5 = 12, then x=7what is the property?

A: Given that: x + 5 = 12

Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

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Q: 1. Simplify each expression and ståte all パ-4.パーx-6 a) x+3 x +x-6

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Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: Given F= {-10, v-5, 1.567, 0, 20, v144}, identify the s a) whole numbers b) integers c) rational…

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A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: if x = 6, then x + 4 < x − 26 Select one: O True O False

A:

Q: Let A = 1 1 1`1 1 1 1], B= CD c=H₁ 1 1 Which of the following expressions is NOT defined?

A: we need to find which of the given expressions is not defined.