Which Statements Are True About The Linear Inequality Y 3/4X-2

July 5, 2024, 12:10 pm

Gauth Tutor Solution. How many of each product must be sold so that revenues are at least $2, 400? Answer: is a solution. Select two values, and plug them into the equation to find the corresponding values. Solve for y and you see that the shading is correct. To find the x-intercept, set y = 0.

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

Grade 12 · 2021-06-23. These ideas and techniques extend to nonlinear inequalities with two variables. The solution is the shaded area. We know that a linear equation with two variables has infinitely many ordered pair solutions that form a line when graphed. Find the values of and using the form. This boundary is either included in the solution or not, depending on the given inequality. Answer: Consider the problem of shading above or below the boundary line when the inequality is in slope-intercept form. However, the boundary may not always be included in that set. Which statements are true about the linear inequal - Gauthmath. Given the graphs above, what might we expect if we use the origin (0, 0) as a test point? First, graph the boundary line with a dashed line because of the strict 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.

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

The boundary is a basic parabola shifted 3 units up. However, from the graph we expect the ordered pair (−1, 4) to be a solution. Unlimited access to all gallery answers. Which statements are true about the linear inequality y 3/4.2.3. If, then shade below the line. In this case, graph the boundary line using intercepts. The statement is True. Here the boundary is defined by the line Since the inequality is inclusive, we graph the boundary using a solid line. Graph the boundary first and then test a point to determine which region contains the solutions.

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

In this case, shade the region that does not contain the test point. Let x represent the number of products sold at $8 and let y represent the number of products sold at $12. Since the test point is in the solution set, shade the half of the plane that contains it. D One solution to the inequality is. Any line can be graphed using two points. 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. This indicates that any ordered pair in the shaded region, including the boundary line, will satisfy the inequality. Good Question ( 128). E The graph intercepts the y-axis at. Ask a live tutor for help now. Next, test a point; this helps decide which region to shade. If we are given an inclusive inequality, we use a solid line to indicate that it is included. Which statements are true about the linear inequality y 3/4.2.5. The test point helps us determine which half of the plane to shade.

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

Does the answer help you? Still have questions? A company sells one product for $8 and another for $12. Shade with caution; sometimes the boundary is given in standard form, in which case these rules do not apply.

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

We can see that the slope is and the y-intercept is (0, 1). To see that this is the case, choose a few test points A point not on the boundary of the linear inequality used as a means to determine in which half-plane the solutions lie. Because The solution is the area above the dashed line. The steps for graphing the solution set for an inequality with two variables are shown in the following example. 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 icone. Sketch the graph of all possible solutions to this problem.

Rewrite in slope-intercept form. Step 2: Test a point that is not on the boundary. Graph the line using the slope and the y-intercept, or the points. The slope-intercept form is, where is the slope and is the y-intercept. B The graph of is a dashed line. A linear inequality with two variables An inequality relating linear expressions with two variables. Also, we can see that ordered pairs outside the shaded region do not solve the linear inequality. Consider the point (0, 3) on the boundary; this ordered pair satisfies the linear equation.

The boundary is a basic parabola shifted 2 units to the left and 1 unit down. Write a linear inequality in terms of x and y and sketch the graph of all possible solutions. Gauthmath helper for Chrome. C The area below the line is shaded. A common test point is the origin, (0, 0). It is graphed using a solid curve because of the inclusive inequality. Following are graphs of solutions sets of inequalities with inclusive parabolic boundaries. So far we have seen examples of inequalities that were "less than. "

It is the "or equal to" part of the inclusive inequality that makes the ordered pair part of the solution set. The inequality is satisfied. Determine whether or not is a solution to. Graph the solution set.

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