Provide step-by-step explanations. Find the values of and using the form. In slope-intercept form, you can see that the region below the boundary line should be shaded. Step 2: Test a point that is not on the boundary.
Solution: Substitute the x- and y-values into the equation and see if a true statement is obtained. 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. Ask a live tutor for help now. Feedback from students.
Grade 12 · 2021-06-23. A The slope of the line is. Check the full answer on App Gauthmath. 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. Graph the solution set. Which statements are true about the linear inequality y 3/4.2.2. Still have questions? Following are graphs of solutions sets of inequalities with inclusive parabolic boundaries. Consider the point (0, 3) on the boundary; this ordered pair satisfies the linear equation. This indicates that any ordered pair in the shaded region, including the boundary line, will satisfy the inequality. Good Question ( 128). Write an inequality that describes all ordered pairs whose x-coordinate is at most k units. The slope of the line is the value of, and the y-intercept is the value of. Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is, where is the slope and is the y-intercept. The graph of the solution set to a linear inequality is always a region. Answer: Consider the problem of shading above or below the boundary line when the inequality is in slope-intercept form. Create a table of the and values. Here the boundary is defined by the line Since the inequality is inclusive, we graph the boundary using a solid line. Which statements are true about the linear inequal - Gauthmath. Also, we can see that ordered pairs outside the shaded region do not solve the linear inequality. Determine whether or not is a solution to.
Solutions to linear inequalities are a shaded half-plane, bounded by a solid line or a dashed line. Graph the line using the slope and the y-intercept, or the points. Next, test a point; this helps decide which region to shade. Answer: is a solution.
Does the answer help you? Is the ordered pair a solution to the given inequality? Shade with caution; sometimes the boundary is given in standard form, in which case these rules do not apply. However, the boundary may not always be included in that set. Which statements are true about the linear inequality y 3/4.2 ko. Enjoy live Q&A or pic answer. A rectangular pen is to be constructed with at most 200 feet of fencing. Unlimited access to all gallery answers. The steps for graphing the solution set for an inequality with two variables are shown in the following example. Begin by drawing a dashed parabolic boundary because of the strict inequality. To find the y-intercept, set x = 0. x-intercept: (−5, 0).
Gauth Tutor Solution. Write a linear inequality in terms of x and y and sketch the graph of all possible solutions. The test point helps us determine which half of the plane to shade. Write a linear inequality in terms of the length l and the width w. Which statements are true about the linear inequality y 3/4.2.1. Sketch the graph of all possible solutions to this problem. The statement is True. Write an inequality that describes all points in the half-plane right of the y-axis.
Any line can be graphed using two points. Now consider the following graphs with the same boundary: Greater Than (Above). Furthermore, we expect that ordered pairs that are not in the shaded region, such as (−3, 2), will not satisfy the inequality. Non-Inclusive Boundary. D One solution to the inequality is.
Y-intercept: (0, 2). The inequality is satisfied. It is the "or equal to" part of the inclusive inequality that makes the ordered pair part of the solution set. And substitute them into the inequality.
Step 1: Graph the boundary. Because the slope of the line is equal to. B The graph of is a dashed line. How many of each product must be sold so that revenues are at least $2, 400?
A company sells one product for $8 and another for $12.
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