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

Q: missing

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: It is possible to find a point that lies on both sides of a linear inequality. True False

A: Given, It is possible to find a point that lies on both sides of a linear inequality We have to find…

Q: Given the inequality y ≤ 2x + 1, the bounding line y = 2x+ 1 is drawn as a (dashed/solid) line.

A:

Q: A triangle has two sides of length 18 and 17. What compound inequality describes the possible…

A:

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

A:

Q: Choose the correct ordered pair that makes the inequality true.  x + 3y ≤ 6…

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: A triangle has two sides of length 0.4 and 14.1. What compound inequality describes the possible…

A: To find the compound inequality that best describes the possible lengths for the third side, x Given…

Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

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: If |2| = 2, use the triangle inequality to show that |Im(1 – z+ 22)| <7 and 2 – 4z² + 3| 2 3.

A: the given question is related to complex numbers. the solution is explained below.

Q: The set of all points that satisfy a linear inequality in two variables is called the________ of the…

A: we have to fill in the blank. The set of all points that satisfy a linear inequality in two…

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Consider a rectangular field of length l and width b as shown in the figure and than use the…

Q: A triangle has two sides of length 13.1 and 11.4. What compound inequality describes the possible…

A:

Q: Show that the sum of the lengths of the two shortest sides is greater than the length of the third…

A: To show that Sum of the lengths of the two shortest sides is greater than the length of the third…

Q: A triangle has two sides of length 4.9 and 19.5. What compound inequality describes the possible…

A:

Q: A triangle has two sides of length 4 and 13. What compound inequality describes the possible lengths…

A: Triangle inequality described that sum of the length of two sides of triangle is greater than the…

Q: Create your own real-life word problem that shows the application of Triangle Inequality. Prepare…

A: We have to create real life word problem in which we can apply triangle inequality

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

A:

Q: Does the point (2, 3) satisfy the inequality 3x + 3y > 15? yes no

A:

Q: A triangle has two sides of length 14 and 19. What compound inequality describes the possible…

A: Two side lengths of a triangle are 14 and 19.

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

A:

Q: The lengths of the sides of a triangle are 5, 6. and x. Then x must begreater than ____ and less…

A: Using the triangle side inequality, the sum of two sides of the triangle should be greater than the…

Q: transform each inequality into an equivalent inequality with y as one side y-5x>=3

A: Given- y-5x≥3 It is required to transform each inequality into an equivalent inequality with y as…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let one side of area = x, other side = yLet extra fencing be parallel to sides of length y.So we…

Q: The Division Property of Inequality requires that we reverse the inequality symbol when dividing by…

A: Given: 12&gt;-4 We know that, if we divide a inequality by negative number then sign of inequality…

Q: express the given inequality in interval notation. x ≤ 0

A: We have to express the given inequality in interval notation. x ≤ 0

Q: Which ordered pair satisfies the inequality 2x- 3yz 7? A. (-2, -3)

A: We have to find solution of the given inequality.

Q: what is true for this inequality.

A:

Q: Write a pair of inequalities that describe the points that lie inside or on the circle with center…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The set of all points that satisfy a linear inequality in two variables is called the of the…

A: The set of all points that satisfy a linear inequality in two variables is called the solution set…

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: F yミラx

A:

Q: Graph the inequality on a plane. X+ys3

A: Given inequality is x+y≤3. To draw the graph on a plane.

Q: Write an inequality that describes the points that lie inside the circle with center (-2, 1) and…

A: Given:center-2,1radius=6

Q: Example 1: y < 2x² + 3x + 1 2.

A:

Q: Recall that the reverse triangle inequality for

A: Given, Reverse triangle inequality: And

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

A:

Q: A triangle has two sides of length 13.2 and 12.8. What compound inequality describes the possible…

A: We know that the sum two sides of a triangle must be greater than the measure of third side. Let the…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

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

A:

Q: A triangle has two sides of length 15.7 and 13.6. What compound inequality describes the possible…

A: We can solve this using the triangle inequality theorem which states that the sum of any two sides…

Q: A triangle has two sides of length 10 and 15. What compound inequality describes the possible…

A: Properties of triangle: The sum of two sides of triangle is always greater than the third side. The…

Q: The point (0, 0) is a solution to which of these inequalities?

A:

Q: Write the following as an inequality, -1 is less than or equal to w, and 4 is greater than w use w…

A:

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

A: As per guideline we have to solve one question

Q: Show the solution to this inequality with a number line. -(x – 1)(2x + 7)(x+2) < 0

A: Given  -x-12x+7x+2≤0 Multiplying by -1 on both sides, the inequality sign gets reversed.…

Q: A rancher wants to fence in an area of 3,000,000 square feet in a rectangular field and then divide…

A: