Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

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: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

A:

Q: |x+7/2| ≥ 9

A: Given,

Q: d) Prove that −1 < x < 0 implies that |x³ − 2x + 1| < 1.26|x − 1].

A:

Q: Fill in the blank so that the resulting statement is true.

A:

Q: Prove the identity |a − 3b|^2 + |3a + b |^2 = 10|a|^2 + 10|b|^2

A:

Q: Let f(x)=2x12, g(x): x-3, and h(x) = 2x2-4x-6. Wiite a formula fuY each of the following functions…

A: topic - functions

Q: Find the solution to this recursive relation  an=2nan-1, a0=3

A: Given that  an=2nan-1, a0=3 To find the solution of this recursive relation

Q: Is that a < or a c?

A: It is a less than symbol "&lt;" . Kindly find the clear solution of that problem here.

Q: Express m&lt;2, m&lt; 3, and m&lt; 4 in terms of t when m &lt; 1= t

A: Given  The m &lt; 1= t

Q: Solve; |2x  + 1|   x  > - 1 -2 > x > 1

A:

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: 2) + 2 <0 IX + 31 4,

A:

Q: |x + 1| ≥ 3

A: Given,

Q: O INTENATUNAL SCHUUL Find the condition for 2x² +3kx + 4c to be positive for all real values of .

A: To find the condition for 2x2+3kx+4c  to be positive for all real values of x.

Q: Prove that if |x-1| < 1, then x² - 2x + 5| < 8.

A:

Q: x2- 11x+24 For all x 8, = ? ? 8-X 8-X 3-x X - 3 X-8 K X - 11

A:

Q: Which of the following zeroes is not significant?   a leading zero before the decimal point   b…

A:

Q: prove the following statement.

A:

Q: min xí + x1x2 + x2 X2 2 0 St{x1 + x2 < 3

A:

Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

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

A:

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: |u|> c is true for all real numbers if c _ 0.

A: |u|&gt;c is true for all real numbers if c ____ 0.

Q: 2|x−2|+6&lt;0

A: Subtract 6 from both sides. Then divide by 2.

Q: The value of x for |x + 1| < |x – 2|

A:

Q: Q={x I x is an integer and -4 &lt; x&lt;-2}

A: Solution :- Given that  Above set is defined as set of the entire integer starting from -4 to less…

Q: If xER then |1– x| = |x+1|- True O False

A: We have check given statement is true or not

Q: 2. Determine all values of x - y when x and y are integers such that x = 360 + y².

A: The given equation is. x2=360+y2x2-y2=360x+yx-y=360 Since it is given that x and y are integers, so…

Q: an (b) Explain what it means to say that n=1

A: According to question,Given expression,∑n=1∞an = 12

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.