Which Statements Are True About The Linear Inequality Y 3/4.2.3

July 4, 2024, 8:21 pm

Because of the strict inequality, we will graph the boundary using a dashed line. The solution is the shaded area. The slope of the line is the value of, and the y-intercept is the value of. See the attached figure.

Which Statements Are True About The Linear Inequality Y 3/4.2.0

These ideas and techniques extend to nonlinear inequalities with two variables. Rewrite in slope-intercept form. This may seem counterintuitive because the original inequality involved "greater than" This illustrates that it is a best practice to actually test a point. Because The solution is the area above the dashed line. Which statements are true about the linear inequality y 3/4.2.2. Step 1: Graph the boundary. Given the graphs above, what might we expect if we use the origin (0, 0) as a test point? Also, we can see that ordered pairs outside the shaded region do not solve the linear inequality. A company sells one product for $8 and another for $12. This indicates that any ordered pair in the shaded region, including the boundary line, will satisfy the inequality.

Which Statements Are True About The Linear Inequality Y 3/4.2.3

For the inequality, the line defines the boundary of the region that is shaded. Create a table of the and values. The solution set is a region defining half of the plane., on the other hand, has a solution set consisting of a region that defines half of the plane. Which statements are true about the linear inequality y 3/4.2.4. In this case, graph the boundary line using intercepts. A linear inequality with two variables An inequality relating linear expressions with two variables. To find the x-intercept, set y = 0. A common test point is the origin, (0, 0).

Which Statements Are True About The Linear Inequality Y 3/4.2.1

Good Question ( 128). Write a linear inequality in terms of the length l and the width w. Sketch the graph of all possible solutions to this problem. It is graphed using a solid curve because of the inclusive inequality. Which statements are true about the linear inequality y 3/4.2.1. How many of each product must be sold so that revenues are at least $2, 400? The boundary of the region is a parabola, shown as a dashed curve on the graph, and is not part of the solution set. Non-Inclusive Boundary.

Which Statements Are True About The Linear Inequality Y 3/4.2 Ko

In this example, notice that the solution set consists of all the ordered pairs below the boundary line. Y-intercept: (0, 2). E The graph intercepts the y-axis at. The boundary is a basic parabola shifted 3 units up. We solved the question! Any line can be graphed using two points. Graph the solution set. Check the full answer on App Gauthmath.

Which Statements Are True About The Linear Inequality Y 3/4.2.2

Feedback from students. Write an inequality that describes all ordered pairs whose x-coordinate is at most k units. D One solution to the inequality is. Write a linear inequality in terms of x and y and sketch the graph of all possible solutions. Provide step-by-step explanations. Crop a question and search for answer. However, from the graph we expect the ordered pair (−1, 4) to be a solution. Following are graphs of solutions sets of inequalities with inclusive parabolic boundaries. Grade 12 · 2021-06-23. Because the slope of the line is equal to. Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply. -The - Brainly.com. In this case, shade the region that does not contain the test point. A The slope of the line is. Solution: Substitute the x- and y-values into the equation and see if a true statement is obtained.

Which Statements Are True About The Linear Inequality Y 3/4.2.4

Now consider the following graphs with the same boundary: Greater Than (Above). In slope-intercept form, you can see that the region below the boundary line should be shaded. The test point helps us determine which half of the plane to shade. Furthermore, we expect that ordered pairs that are not in the shaded region, such as (−3, 2), will not satisfy the inequality. First, graph the boundary line with a dashed line because of the strict inequality. The statement is True. B The graph of is a dashed line. An alternate approach is to first express the boundary in slope-intercept form, graph it, and then shade the appropriate region. Graph the line using the slope and the y-intercept, or the points. The steps are the same for nonlinear inequalities with two variables. Does the answer help you? Gauthmath helper for Chrome.

Which Statements Are True About The Linear Inequality Y 3/4.2 Icone

Let x represent the number of products sold at $8 and let y represent the number of products sold at $12. Begin by drawing a dashed parabolic boundary because of the strict inequality. For example, all of the solutions to are shaded in the graph below. And substitute them into the inequality. In the previous example, the line was part of the solution set because of the "or equal to" part of the inclusive inequality If given a strict inequality, we would then use a dashed line to indicate that those points are not included in the solution set.

Graph the boundary first and then test a point to determine which region contains the solutions. A rectangular pen is to be constructed with at most 200 feet of fencing. If we are given an inclusive inequality, we use a solid line to indicate that it is included. If, then shade below the line. The boundary is a basic parabola shifted 2 units to the left and 1 unit down. The graph of the inequality is a dashed line, because it has no equal signs in the problem. Answer: is a solution. Find the values of and using the form. Consider the point (0, 3) on the boundary; this ordered pair satisfies the linear equation.

We can see that the slope is and the y-intercept is (0, 1). This boundary is either included in the solution or not, depending on the given inequality. Select two values, and plug them into the equation to find the corresponding values. Since the test point is in the solution set, shade the half of the plane that contains it. Here the boundary is defined by the line Since the inequality is inclusive, we graph the boundary using a solid line. The steps for graphing the solution set for an inequality with two variables are shown in the following example. Solutions to linear inequalities are a shaded half-plane, bounded by a solid line or a dashed line. Determine whether or not is a solution to. Ask a live tutor for help now. Answer: Consider the problem of shading above or below the boundary line when the inequality is in slope-intercept form. Still have questions?