What is the triangle inequality? How is it proved? Why is the inequality |a+b| |a|+|b|, where a and b are real numbers, also called the triangle inequality?

Q: Using the triangle inequality, find the range of the function y = 2+4sin r.

A: Given: y=2+4sinx we know that  sinx∈-1,1

Q: Solve the fallowbag inequality with patrametesm' ual + 20 2/1-m tm 2. 20

A: We are given an inequality: x-mx2+x≥21-mx+m Where m a real parameter We need to solve the  given…

Q: Solve Absolute Valve Inequality for (x). -4= -a/3x +1

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Q: b. Detem A pitcher throws a baseball 60 feet from the pitcher's mound to home place. A batter pops…

A: According to the Triangular Inequality Theorem: For any triangle, the sum of two sides of the…

Q: 2.Solve the inequality and show its solution sets on the real line

A: Inequality

Q: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is…

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Q: Define Bonferroni inequality?

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Q: Verify the triangle inequality if a = 4 and b = 5.

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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: Find one possible missing coordinate so that the point becomes a solution to the given inequality.…

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Q: 3 Describe in words the region in R' represented by the inequality -1 < z < 5. A point A space…

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Q: What is the fundamental inequality of arithmetic and geometric means of n numbers X. X3.. X, " Under…

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Q: Dnudeo https://www awnaleks.com/alekscqi Inltlal Knowiedge Check Solve the inequality for y. -12…

A: Consider the provided equation:

Q: Here are three lengths: 12; 4; 17 Use the triangle inequality theorem to write an inequality that…

A: By Triangle Inequality Theorem, "Sum of the lengths of any two sideof triangle is greater than the…

Q: An inequality of the form a &gt; b is called a(n)_____ inequality.

A: An inequality can be created using the inequality symbols &lt;,≤,&gt;,≥ . An inequality symbols &lt;…

Q: (1) that the reverse triangle inequality holds for all real numbers. (HINT: Write a as a - b+ b.…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: What do you mean by Chebychev’s Inequality?

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Q: 1.5.21. When does equality hold in the triangle inequality? State your answer using the words "if…

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Q: 1. Find the solution for the quadratic inequality using the quadratic formula. Use -3, 0, 4 as test…

A: This is a problem related to quadric equation. Based on the general formula and concept we will…

Q: In a bond paper, makes use of cut outs to present Triangle Inequality Theorem. Construct you own…

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Q: The Triangle Inequality: Given a = 5 and b = −3, verify that the triangle inequality |a + b|≤|a|+|b|…

A: In words triangle inequality states that absolute value of sum of two quantities is less than or…

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality.…

A: Inequality rules :  Adding ( or subtracting ) both sides of the inequality by the same number does…

Q: The lengths of two sides of a triangle are given. Use the triangle inequality theorem to determine…

A: Given:           The lengths of two sides of a triangle are 6 cm and 21 cm. To find:…

Q: v = (4,2,−1), w = (8,4,−2) For v and w, verify the Triangle Inequality (inserted as a picture since…

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Q: TASK 24 Proof the Poincar´e-inequality in the n-dimensional case.

A: 1) Let's assume that u is non-zero, then &lt;u, u&gt; is also non-zero and let's define a = &lt;u,…

Q: angle has two sides of length 8. 5. What compound inequality des possible lengths for the third sid…

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Q: 4x-3 A 2x C. B.

A: Given in the triangle ∆DAC And  AB = BC = CD = 2x AD = 4x - 3

Q: 4. In AABC, AB = 7, BC leAC 11. Order the length of the sides from shortest to longest. Express your…

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Q: Determine the solution of the given linear inequality 16+3 3z+9 5z-9 |

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Q: Give the Linear Inequality - 3y 2- 2x + 6

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Q: A triangle has two sides of length 16.7 and 7.4. What compound inequality describes the possible…

A: Given Two sides of triangle is 16.7 and 7.4   To determine compound inequality for third side x

Q: State Multiplication Property of inequality.

A: To state the multiplication property of inequality.

Q: EXERCISE 1 Directions: Choose one test value in each of the intervals and test it against the given…

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Q: A pitcher throws a baseball 60 feet from the pitcher's mound to home place. A batter pops the ball…

A: According to the Triangular Inequality Theorem: For any triangle, the sum of two sides of the…

Q: 12 (2x+5 13 66 12 15

A: Given:

Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality.…

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Q: Task 24 Proof the Poincaré-inequality in the n-dimensional case.

A: I have solved the abive question below please do upvote if you like the solution thank you

Q: Question: Image of the seat of inequality : • |3z + i| = 2 •1< Iz + 2 + il < 3

A: In the given question we have to image the set of Inequality s.t 3z+i=2·1&lt;z+2+i&lt;3 where z is a…

Q: don't understand inequality at all

A: Topic:- algebra

Q: The negative multiplication property of inequality states that if a < b and c is negative, then ac

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Q: Solve the inequalities and show the Solution Sets On the veal line,

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Q: A triangle has two sides of length 7 and 17. What compound inequality describes the possible lengths…

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Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality.…

A: 3x-1≤yIf x,8 be a solution ,then 3x-1 ≤8⇒3x≤8+1⇒3x≤9⇒x≤3

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality…

A: we are given 5x-7&lt;y

Q: Solve the inequalities and show the Solution Sets On the veal line.

A: As per guideline we have to solve one question

Q: The solution of this inequality consists one or more of the following intervals: (-0o, A), (A, B),…

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Q: ation three ways: as a compound inequality, in

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Q: solve the inequality in terms of intevals and illustrateand re-express the solutionas one dimesional…

A: See 2nd step

Q: b) Show that |A+ B[ < |Ã[ + |B].( Tringle inequality).

A: Solution:-