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Tuesday, 30 July 2024

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Use the slope-intercept form to find the slope and y-intercept. Write a linear inequality in terms of the length l and the width w. Sketch the graph of all possible solutions to this problem. An alternate approach is to first express the boundary in slope-intercept form, graph it, and then shade the appropriate region. Which statements are true about the linear inequality y 3/4.2 ko. Grade 12 · 2021-06-23. How many of each product must be sold so that revenues are at least $2, 400? First, graph the boundary line with a dashed line because of the strict inequality. In this case, graph the boundary line using intercepts.

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

Next, test a point; this helps decide which region to shade. The slope of the line is the value of, and the y-intercept is the value of. Write a linear inequality in terms of x and y and sketch the graph of all possible solutions. The boundary of the region is a parabola, shown as a dashed curve on the graph, and is not part of the solution set. The boundary is a basic parabola shifted 3 units up. If we are given an inclusive inequality, we use a solid line to indicate that it is included. Enjoy live Q&A or pic answer. Good Question ( 128). 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 3/4.2.3. Unlimited access to all gallery answers. B The graph of is a dashed line.

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

It is the "or equal to" part of the inclusive inequality that makes the ordered pair part of the solution set. In slope-intercept form, you can see that the region below the boundary line should be shaded. We solved the question! Answer: is a solution.

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This boundary is either included in the solution or not, depending on the given inequality. To find the x-intercept, set y = 0. 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. This may seem counterintuitive because the original inequality involved "greater than" This illustrates that it is a best practice to actually test a point. Since the test point is in the solution set, shade the half of the plane that contains it. So far we have seen examples of inequalities that were "less than. " Consider the point (0, 3) on the boundary; this ordered pair satisfies the linear equation. Gauth Tutor Solution. Check the full answer on App Gauthmath. Which statements are true about the linear inequality y 3/4.2.0. Is the ordered pair a solution to the given inequality? Graph the line using the slope and the y-intercept, or the points.

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

The slope-intercept form is, where is the slope and is the y-intercept. Feedback from students. Now consider the following graphs with the same boundary: Greater Than (Above). A linear inequality with two variables An inequality relating linear expressions with two variables. Crop a question and search for answer. See the attached figure. Shade with caution; sometimes the boundary is given in standard form, in which case these rules do not apply. Solutions to linear inequalities are a shaded half-plane, bounded by a solid line or a dashed line. Which statements are true about the linear inequal - Gauthmath. Here the boundary is defined by the line Since the inequality is inclusive, we graph the boundary using a solid line. D One solution to the inequality is.

Write an inequality that describes all ordered pairs whose x-coordinate is at most k units. However, from the graph we expect the ordered pair (−1, 4) to be a solution. Begin by drawing a dashed parabolic boundary because of the strict inequality. Graph the boundary first and then test a point to determine which region contains the solutions. Write an inequality that describes all points in the half-plane right of the y-axis. Select two values, and plug them into the equation to find the corresponding values. Create a table of the and values.