The triangle inequality theorem states that the sum the lengths of any two sides of a triangle is greater than the length of the third side. O True O False

Q: 1. Write an inequality relating the length of ST to MN. M

A:

Q: What is the triangle inequality? How is it proved? Why is the inequality |a+b| |a|+|b|, where a and…

A: What is the triangle inequality? How is it proved? Why is the inequality |a+b| |a|+|b|, where a and…

Q: What is the solution (in interval notation) to the following inequality below? 223 O 14.) O (4.) O…

A:

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

A:

Q: Exercise 1: Express an inequality statement that relates HI and 1. 19° G I 26°

A:

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

A:

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: Enter the correct inequality sign ""   a.) |4×10−10||4×10−10|    |−3.8×106|

A:

Q: Show that if |a − 5| < 1/2 and |b − 8| < 1/2, then|(a + b) − 13| < 1. Hint: Use the…

A: We have, a-5<12; b-8<12.We have to show that a+b - 13 < 1Consider a+b - 13 = a + b -13…

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: Which of the following inequality symbols use shaded circle (•) in graphing? a.) ≥, ≤ b.) = c.) >, <…

A: Given: Which of the following inequality symbols use shaded circle (•) in graphing? a.) ≥, ≤ b.) =…

Q: 4 4 4 3.7 A- 4 В

A:

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

A:

Q: of the inequality x + y > 1 because when 3 is substituted for ,the true statement The ordered pair…

A: Consider the inequality x+y&gt;1 -(i)Substituting for x=3 and y=2 in the inequality given by…

Q: Identify each value of z that makes the below inequality true. – (3x +1) > -7+3x - -1 20 1 0. -32

A:

Q: Which of the following is a type of inequality sign? > ≥ and ≤ < All of the answers are correct.

A: We know that, In mathematics, the relationship between two values that are not equal is defined by…

Q: unit of house A requires 160 man hours and a unit of house J requires 256 man hours. Write an…

A: Time required for both unit of house A and J are given. We will construct an inequality according to…

Q: In n is a natural number, for which real numbers is the inequality (1 + æ)" > 1+ nx true?

A: 1+xn≥1+nx When n=1, we get ⇒1+x1≥1+1·x⇒1+x≥1+x Which is true. Therefore given statement is true for…

Q: The transitive property of equality states that if AB = BA, then BA = AB. %3D %3D O True O False

A:

Q: Given: AB <CD Prove: AC=BD А В С B CD, STATEMENT REASONS ВС-ВС 2. Given Reflexive Property 3. AB <…

A: Given, AB&lt;CD To prove AC=BD This is proved using the geometrical identity.

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

A:

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: Use the triangle inequality to establish the following inequalities: (b) ||c| – |d|| \p - 기 ()…

A:

Q: The reflexive property of equality is used to demonstrate a segment has the same length as itself. O…

A: Here is the solution of the given problem.

Q: 29. Show that if |a – 5| < } and |b – 8| <, then |(a + b) – 13| < 1. Hint: Use the triangle…

A:

Q: (a) The set of all points on the real line whose distance from zero is less than 9 can be described…

A: here given that all points on real line whose distance from 0 to us less than 3

Q: From the given inequality, what is the value of x in the converted form of the inequality? If your…

A: given, 2x+ 8y &gt;79 --------------------------(i) &amp; 2x-5y &gt;-38…

Q: Indicate for which natural numbers n the given inequality is true. Prove your answers by induction.…

A:

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

A:

Q: Show that if la - 51 &lt; ½ and lb - 81 &lt; ½, then we can conclude that l(a + b) - 131 &lt; 1.…

A:

Q: 1. Match each inequality to the meaning of a symbol within it. A. less than or equal to B. greater…

A:

Q: If we use the Chebychev inequality, then the approximation value of P(|X – ul < 40) 2 … ... .A…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Does the Transitive Property of Inequality hold true for four real numbers a, b, c, and d? That is,…

A: Given: a,b,c,d b are four real numbers. Here, a&lt;b, b&lt;c &amp; c&lt;d

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: Tell which of the given ordered pairs satisfy the inequality. swer.

A: Given  that : The inequality,

Q: For the inequality 3n+1 > n determine the set of natural numbers for which it holds.

A: (4) For n=1, 32=9&gt;14=1 Assume for n=k then 3k+1&gt;k4.

Q: According to the Triangle Inequality Theorem, which of the following sets can represent the sides of…

A: as per triangle inequality theorem The sum of the lengths of any two sides of a triangle is greater…

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

A: Given:

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

A: let assume 3rd side of the triangle is x. Given side length: 6 cm and 21 cm Triangle inequality the…

Q: raph the solution set of the following linear Inequality. -7y + 7x 2 -7y + 42

A: -7y+7x≥-7y+42 7y-7y+7x≥7y-7y+42                7x≥42                  x≥6 Type of boundary line…

Q: An equation and its graph are given. Fed an inequality whose satution is the shaded re Need Holp?

A:

Q: The solution to a linear inequality is a a coordinate point in the unshaded area a coordinate point…

A: Consider the example for linear inequality is, y≤x+2 Consider the x=2 Then, y≤2+2y≤4 Thus, the…

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: For the inequality 3"+1 > n4 determine the set of natural numbers for which it holds.

A:

Q: Which of the following statements is false about inequalities? O If we add a negative number to both…

A: option 1 Add a negative number say -3 to both sides of the inequality 3&lt;5 -3+3&lt;5-3 0&lt;2 True…

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

A:

Q: Use the figure at the right to complete the inequality statements: 1. m21 3. If the measure of mz1 =…

A: sum of angles of triangle = 180   3. m∠1=53m∠2=67m∠1+m∠2+m∠3=18053+67+m∠3=180m∠3=60m∠3+m∠4=180  (…

Q: is a solution to the inequality 18k + 4 > 18 True False 213

A:

Q: Prove the inequality b−ab≤lnba≤b−aa provided 0&lt;a≤b.

A: