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The test point helps us determine which half of the plane to shade. Use the slope-intercept form to find the slope and y-intercept. Determine whether or not is a solution to.

Which Statements Are True About The Linear Inequality Y 3/4.2.5

And substitute them into the inequality. Next, test a point; this helps decide which region to shade. Enjoy live Q&A or pic answer. Gauth Tutor Solution. The boundary is a basic parabola shifted 3 units up. Non-Inclusive Boundary. The graph of the inequality is a dashed line, because it has no equal signs in the problem. However, the boundary may not always be included in that set. E The graph intercepts the y-axis at. Y-intercept: (0, 2). Which statements are true about the linear inequality y 3/4.2.5. However, from the graph we expect the ordered pair (−1, 4) to be a solution. The boundary is a basic parabola shifted 2 units to the left and 1 unit down. The slope of the line is the value of, and the y-intercept is the value of.

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

Write a linear inequality in terms of the length l and the width w. Sketch the graph of all possible solutions to this problem. Rewrite in slope-intercept form. Solve for y and you see that the shading is correct. Good Question ( 128). Is the ordered pair a solution to the given inequality? Which statements are true about the linear inequality y 3/4.2.3. Solution: Substitute the x- and y-values into the equation and see if a true statement is obtained. Step 2: Test a point that is not on the boundary. See the attached figure. Answer: Consider the problem of shading above or below the boundary line when the inequality is in slope-intercept form.

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

The solution is the shaded area. To find the y-intercept, set x = 0. x-intercept: (−5, 0). In this case, graph the boundary line using intercepts. Furthermore, we expect that ordered pairs that are not in the shaded region, such as (−3, 2), will not satisfy the inequality. Provide step-by-step explanations. Because the slope of the line is equal to. Still have questions? In this example, notice that the solution set consists of all the ordered pairs below the boundary line. Crop a question and search for answer. Grade 12 · 2021-06-23. This may seem counterintuitive because the original inequality involved "greater than" This illustrates that it is a best practice to actually test a point. Select two values, and plug them into the equation to find the corresponding values. Which statements are true about the linear inequality y 3/4.2.1. If, then shade below the line.

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

C The area below the line is shaded. For example, all of the solutions to are shaded in the graph below. The boundary of the region is a parabola, shown as a dashed curve on the graph, and is not part of the solution set. Which statements are true about the linear inequal - Gauthmath. We know that a linear equation with two variables has infinitely many ordered pair solutions that form a line when graphed. An alternate approach is to first express the boundary in slope-intercept form, graph it, and then shade the appropriate region. Any line can be graphed using two points. Shade with caution; sometimes the boundary is given in standard form, in which case these rules do not apply. Graph the solution set. 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. A The slope of the line is. Create a table of the and values. Answer: is a solution. Write an inequality that describes all points in the half-plane right of the y-axis. We solved the question! Ask a live tutor for help now. Write an inequality that describes all ordered pairs whose x-coordinate is at most k units. 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. These ideas and techniques extend to nonlinear inequalities with two variables. Because of the strict inequality, we will graph the boundary using a dashed line. The steps are the same for nonlinear inequalities with two variables.
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