Draw the graph of the inequality: y> 4z+3 You can refer to Participation Activities 11 and 12 in the Reading and Participation section Graphing Linear Inequalities. Those two activities can give you practice in drawing graphs of linear inequalities in Mobius. Part a: Find two points on the associated line. Often it's smart to start with the values a =0 and a= 1. The point (0, Number ) is on the line y= 4 x + 3. The point (1, Numbel ) is on the line y 4 a +3. Part b: Find a point that satisfies the strict inequality y 4 r +3. The point (0, satisfies y 4 a+3. Part c: To sketch this inequality. first sketch the boundary line using the icon and then use the Supmit Assignment Quit & Save вack Question Menu- 12:16 A 6320
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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![### Graphing Linear Inequalities
**Draw the graph of the inequality:**
\[ y > 4x + 3 \]
You can refer to Participation Activities 11 and 12 in the Reading and Participation section Graphing Linear Inequalities. Those two activities can give you practice in drawing graphs of linear inequalities in Möbius.
#### Part a:
Find two points on the associated line. Often it's smart to start with the values \( x = 0 \) and \( x = 1 \).
- The point \( (0, \_\_\_\_\_\_) \) is on the line \( y = 4x + 3 \).
- The point \( (1, \_\_\_\_\_\_) \) is on the line \( y = 4x + 3 \).
#### Part b:
Find a point that satisfies the strict inequality \( y > 4x + 3 \).
- The point \( (0, \_\_\_\_\_\_\_\_\_\_ ) \) satisfies \( y > 4x + 3 \).
#### Part c:
To sketch this inequality, first sketch the boundary line using the \[ \frac{}{} \] icon and then use the ...
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This text is part of an educational exercise aimed at helping students understand how to graph linear inequalities. Students should follow the steps to find points on the line \( y = 4x + 3 \) and then identify points that satisfy the inequality \( y > 4x + 3 \). Finally, they will sketch the boundary line and shade the appropriate region representing the solutions to the inequality.
Feel free to click on the 'Back' button to review any previous steps or use the 'Question Menu' for further assistance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21bd8fd9-92a3-41b3-9bf9-2b1154ed45ae%2F6d62d3ae-7536-47d5-8aea-d8a5eaa0c867%2Fhhj0vxnh_processed.png&w=3840&q=75)
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