F the distance between 0 and a fixed point on the number line is less than 0.1, less than 0.01, less than 0.001, less than for all positive integers , then you can conclude which of the following about ? Select one: is near, but not necessarily equal to, 0 is not equal to 0 There is not enough information to conclude anything about does not have to be close to 0

Q: If æ is an irrational number, then it is the case that sup{q E Q : q< x} < x.

A:

Q: Find the number provide counter example to show that the given statement is false. 1.for all number…

A:

Q: Use a graph to find a number 8 such that 2.x if |r– 1| < 8 then 0.4 <0.1 x? + 4 2 +

A:

Q: Identify the real number subset(s) that each of the following belong in. Pleasegive all…

A: Given query  Need to identify the numbers .

Q: We assume that x0. Therefore there exists a natural number n such that n> Since z is fixed we can…

A: Suppose that x and y are 2 distinct real numbers. We have to prove that, there exists a rational…

Q: (i) Z is a group by the set of whole numbers x * y = x + y - a operation. Show it.

A:

Q: Represents the ff.on a number line and give its value. Examples: /-7/=7 /4/ = 4 -10 -9 -8 -7 6 5 4…

A: Topic - number line

Q: Result For every integer n ≥ 7, there exist positive integers a and b such that n = 2a +3b. 2q or n…

A:

Q: Is the following statement true or false? When x is a real number, one way to prove that a ≤ 5 is to…

A:

Q: Click and drag each point to its appropriate position. Some points might be unused. 0.00398 0.004…

A: the given numbers are 0.004, 0.00398, 0.00407

Q: Is the set {3m + v3ni|m, n E Z, b|m – n} the normal subgroup of the (C, +)group?

A: given :

Q: need help

A: The objective of the question is to find the set of numbers x that satisfy the condition |8x − 4| ≤…

Q: упе y ne N.

A: Suppose x is a real number such that, x+1x is an integer. We have to show that, xn+1xn is an integer…

Q: integers,

A: A is the set of all real numbers lying between -2 and 5, not including -2 and 5. Therefore,…

Q: Which statement is FALSE? a. The sum of odd degrees is even b. The maximum degree is greater than…

A: Option (c) is False.

Q: 4. Explain what is wrong in the following "proof." CLAIM. Let x be a real number. If a is…

A: To prove any statement that holds for any arbitrary real number, you must prove that statment taking…

Q: Which of the following means the same as p-->q? Choose one answer. q is necessary for p? p is…

A: Consider the truth table  p q p→ q T T T T F F F T T F F T p-&gt; q is equivalent to…

Q: The absolute value of an integer is never negative. Does this contradict the fact that the absolute…

A: The Definition of the absolute value of x is given by  x=xif x&gt;0-xif x&lt;0

Q: - 5. Prove that an integer n is odd if and only if n° – 3 is even.

A: Answer

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

A: If a,b are real numbers, then  PT a+b≥a+b Proof: Let a,b∈ℝ Let a and b denote the absolute value of…

Q: 4. Explain what is wrong in the following "proof." CLAIM. Let x be a real number. If a is…

A:

Q: 3) Two points are plotted on the number line below. 十+ -10 -9 -8 -7-6 -5-4 -3-2-1 十十+ 1 3 10 Which…

A:

Q: For how many integers n with 0 ≤ n ≤ 100 is the quantity integer? n(n-1) (2n-1) 12 equal to an

A:

Q: h. i. x³ = -29 3 -6x -

A: Given statement:- x3=-29

Q: Let a, b and c be integers that satisfy 1 1 1 - - - - a b C |(A) 2022 (В) 2025 Find one possible…

A:

Q: : a number is even  if

A:

Q: Let n be a real number and let E be a positive real number. Determine whether there exists a real…

A: |1/(n+1) | &lt; E =&gt; -E &lt; 1/(n+1) &lt; E From the first inequality, we get that,  n+1 &gt;…

Q: +1 X What are all of the values of x ,such that (-1) n+ converges? 6 06.2 O 0<x<6.3O x26.4O

A:

Q: What is the statement x > -9 and x<-1 interval notation? O (-9,-1] O (-9,-1) O 19,-1] O 19,-1)

A:

Q: Graph on a number line the following functions: 1. {x|XE R, -31}

A: We have to graph the function on number line.

Q: (9) √25 N OZ OQ Q OR XRR (h) 1,000 N Z OR (i) ON no R × 300000

A: Here we will use the concept of the numbers We know that all set of numbers are subset of the set…

Q: Consider the statement Z- 3 What is the meaning of this statement? OAll values of z whose distance…

A: The option is:-

Q: Find the number provide counter example to show that the given statement is false. 1.For all number…

A: