2 a' b? 6(a +b)? – 12ab >22 2 Prove if a,b >0 then 5. 2 b? ab Inequality of arithmetic and geometric and other's

Q: Prove the inequality: P(A n B) ≥ 1 - P(A') - (B')   It reads: Probability of A intersect B is…

A: The inequality to be proved is : PA∩B≥1-PA'-PB' Proof: The PA∪B  is given as: PA∪B=PA+PB-PA∩B But…

Q: ER|x>2}

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Q: For all a > 0 and b> 1, the inequalities In (n) ≤n, n < b are true for n sufficiently large (this…

A: The main objective is to write an inequality comparing (ln(n))8 and n. The expression ln n is…

Q: ne solution to the inequality x" 5x“ + 2x + 8 201IS: | a) -2 s xs 1 or x< 4 b) 1 < x < 2 or x s -4

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Q: On her test, Zipporah submitted the follow asked to solve the inequality -2x +5211. Zipporah's Work:

A: Introduction: Equations and inequalities are both mathematical sentences that are formed by…

Q: In n is a natural number, for which real numbers is the inequality (1+x)" ≥ 1+ na true? A B C D x -1…

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Q: Solve the compound inequality. * 4 < x – 3 < 12 |

A: Given inequality is 4≤x-3&lt;12..........(1)

Q: Question 4 > Solve the following quadratic inequality: x + x – 30 < 0 Write your answer in interval…

A: Solution

Q: Solve the inequality below: 1<-7x + 8 < 15 -10-9 -8-7 -6 18 9 10

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Q: 9-14x-2>4

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Q: not use ai please

A: Explanation:1. Then, 3n + 4 = 3(2k + 1) + 4 = 6k + 7 = 2(3k + 3) + 1 (3)2. By definition of odd,…

Q: STION 16 implify the inequality z² + 2z < 15.

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Q: 1.The inequality 2x2-8x+6>0 is true for all x-values that are less than 1 and greater than 3. 1.…

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Q: For all a > 0 and b> 1, the inequalities In (n) ≤n", n < b are true for n sufficiently large (this…

A: The main objective is to write an inequality comparing (ln(n))8 and n. The expression ln n is…

Q: 3- X What is the solution of the inequality < 4? a. 5<x< 11 b. -11 <x < -5 C. -5 < x < 11 d. -1 <x <…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: Solution is given below:-

Q: What are the values of x that make the following inequality right مرفق -1|s7

A: Given the inequality x-1≤7.

Q: 6/x+3 >2 b) x/x+4 < x+4/x

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Q: - PROVE: Arithmetic-Geometric Mean Inequality If a1, az, ..., a, are nonnegative numbers, then their…

A: We have to prove inequalities according the question.

Q: Graph the compound inequality on the number line. x>-7 and x <-3

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Q: Solue tae inequatity lx-Citol>-2C1ti)ac+3Cl+i) what is true?

A: In this question we have to which statement is true.

Q: 4. Set notation Interval notation -6 -4 2 4

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Q: For all a > 0 and b> 1, the inequalities In (n) ≤n, n < b are true for n sufficiently large (this…

A: Please see the attachment

Q: 5 +5x <35 or 2x-4 <- 14

A: Given inequality:-             5 + 5x &lt; 35 or 2x - 4 &lt;= -14

Q: An inequality for positive integers Show that if a, b, c, and d are positive integers, then (a? +…

A: To Prove: a2+1b2+1c2+1d2+1abcd≥16 It is given that the numbers a, b, c, and d, all are positive…

Q: 11. Solve the cubic inequality and give your answer in interval notation. -2V2X + 1 < 4 A (-0,-] B…

A: We use mathematical operations to solve this inequality

Q: Which inequality is represented in the number line below? 54 3-2-1 0 123 45 OA.-6 <x+2 <-1…

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Q: Prove that for all natural numbers n ≥ 5, (n + 1)! > 2n+3.

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Q: Solve the inequality. 6x- 10 - 122 23 41 10 Sxs 23 10 도 x드을

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Q: Solve the inequality and graph the solution set on a number line. 7) x²2x15 <0 8) x + 71 ≥ 0 9)…

A: We can answer the questions as below.

Q: 8. Give two examples of Fatou's Lemma, where one is an inequality. equality and the other a strict

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Q: If 1 < x < 2 show that x³ + x² − 1 x - 6 11

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Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: a = 6 is a solution to the inequality a > 6 A True B) False

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Q: Let N be this sufficiently large n. Write an inequality comparing (In (n)) and n for n > N. (Express…

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