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

Saturday, 6 July 2024

A company sells one product for $8 and another for $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. Following are graphs of solutions sets of inequalities with inclusive parabolic boundaries. The graph of the solution set to a linear inequality is always a region. Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply. -The - Brainly.com. See the attached figure. A common test point is the origin, (0, 0).

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

Next, test a point; this helps decide which region to shade. Ask a live tutor for help now. A linear inequality with two variables An inequality relating linear expressions with two variables. Use the slope-intercept form to find the slope and y-intercept. Solve for y and you see that the shading is correct. The inequality is satisfied. Feedback from students. We solved the question!

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

Graph the line using the slope and the y-intercept, or the points. The graph of the inequality is a dashed line, because it has no equal signs in the problem. D One solution to the inequality is. An alternate approach is to first express the boundary in slope-intercept form, graph it, and then shade the appropriate region. A The slope of the line is.

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

Provide step-by-step explanations. How many of each product must be sold so that revenues are at least $2, 400? Write an inequality that describes all ordered pairs whose x-coordinate is at most k units. Furthermore, we expect that ordered pairs that are not in the shaded region, such as (−3, 2), will not satisfy the inequality. Y-intercept: (0, 2). The statement is True. The test point helps us determine which half of the plane to shade. However, from the graph we expect the ordered pair (−1, 4) to be a solution. Which statements are true about the linear inequality y 3/4.2.4. C The area below the line is shaded. Graph the boundary first and then test a point to determine which region contains the solutions. The boundary is a basic parabola shifted 2 units to the left and 1 unit down. Is the ordered pair a solution to the given inequality?

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

Gauthmath helper for Chrome. Also, we can see that ordered pairs outside the shaded region do not solve the linear inequality. 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. Does the answer help you? Solution: Substitute the x- and y-values into the equation and see if a true statement is obtained. The steps are the same for nonlinear inequalities with two variables. If, then shade below the line. Which statements are true about the linear inequality y 3/4.2 icone. These ideas and techniques extend to nonlinear inequalities with two variables.

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

Step 1: Graph the boundary. Good Question ( 128). Grade 12 · 2021-06-23. This boundary is either included in the solution or not, depending on the given inequality. Rewrite in slope-intercept form. Crop a question and search for answer. Non-Inclusive Boundary. Because The solution is the area above the dashed line. To find the x-intercept, set y = 0. Check the full answer on App Gauthmath.

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

Find the values of and using the form. The slope of the line is the value of, and the y-intercept is the value of. Now consider the following graphs with the same boundary: Greater Than (Above). It is graphed using a solid curve because of the inclusive inequality. Unlimited access to all gallery answers. Which statements are true about the linear inequality y 3/4.2.0. Here the boundary is defined by the line Since the inequality is inclusive, we graph the boundary using a solid line. For the inequality, the line defines the boundary of the region that is shaded. Answer: Consider the problem of shading above or below the boundary line when the inequality is in slope-intercept form.

The boundary of the region is a parabola, shown as a dashed curve on the graph, and is not part of the solution set. Determine whether or not is a solution to. Since the test point is in the solution set, shade the half of the plane that contains it. Write a linear inequality in terms of the length l and the width w. Sketch the graph of all possible solutions to this problem. Shade with caution; sometimes the boundary is given in standard form, in which case these rules do not apply. Let x represent the number of products sold at $8 and let y represent the number of products sold at $12. Gauth Tutor Solution. Solutions to linear inequalities are a shaded half-plane, bounded by a solid line or a dashed line. Write an inequality that describes all points in the half-plane right of the y-axis. However, the boundary may not always be included in that set. Still have questions? Any line can be graphed using two points. In this case, shade the region that does not contain the test point.

Because the slope of the line is equal to. Graph the solution set.