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The solutions to a linear inequality are the points in the plane that make the inequality true?

Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.


Check all of the points that are solutions to the system of inequalities y 4x plus 3 y -4x plus 6?

the solution for the inequality 4x + 2 - 6x < -1 was x < 3/2


Which points are solutions to the system of inequalities y 2x y 8 x 2?

To determine the solutions to the system of inequalities ( y < 2x ) and ( y > 8 - x^2 ), we need to analyze the regions defined by these inequalities. The first inequality represents the area below the line ( y = 2x ), while the second represents the area above the parabola ( y = 8 - x^2 ). Solutions to the system are points where the area below the line intersects with the area above the parabola. For example, points like (0, 7) and (1, 5) satisfy both inequalities and are solutions to the system.


What points are solutions to the system of inequalities shown below y6x 7 y6x 9?

To determine the points that are solutions to the system of inequalities (y \leq 6x + 7) and (y \geq 6x + 9), we need to analyze the area between the two lines represented by these inequalities. The first inequality represents a region below the line (y = 6x + 7), while the second represents the region above the line (y = 6x + 9). Since the two lines are parallel, there are no points that satisfy both inequalities simultaneously; thus, there are no solutions to the system.


What is the best description of the graph of the inequality y 2x-3?

The inequality ( y < 2x - 3 ) represents the region below the line ( y = 2x - 3 ). This line has a slope of 2 and a y-intercept of -3. The boundary line itself is dashed, indicating that points on the line are not included in the solution set. The solution consists of all points that satisfy the inequality, meaning they lie below this dashed line.


Which of the following points are solutions to the system of inequalities shown below?

y > 5x - 2 y < 5x + 3 A.(4, 20) B.(-5, 25) C.(5, 28) D.(4, 23)


What graph correctly represents the inequality y 8?

The inequality ( y &lt; 8 ) is represented by a horizontal line at ( y = 8 ) with a dashed line, indicating that points on the line are not included in the solution. The area below this line represents the solution set, where all points have a ( y )-value less than 8. Therefore, any graph depicting this with the correct shading below the dashed line would accurately represent the inequality.


What is the graph of the inequality in the coordinate plane?

The graph of an inequality in the coordinate plane represents a region that satisfies the inequality. For example, the inequality (y &lt; 2x + 3) would be graphed by first drawing the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included), and then shading the area below the line, which contains all the points that satisfy the inequality. The boundary line can be solid if the inequality is &quot;less than or equal to&quot; or &quot;greater than or equal to.&quot;


How do graph inequalities on a grid?

Graphing inequalities on a grid involves first translating the inequality into an equation to determine the boundary line. For example, for the inequality (y &lt; 2x + 3), you would graph the line (y = 2x + 3) as a dashed line (indicating that points on the line are not included). Next, you select a test point (usually the origin, if it’s not on the line) to determine which side of the line to shade. The shaded region represents all the solutions to the inequality.


Which of thw following points are on the line given by the equation y equals -3x plus 5?

(1,2) (0,5) (-1,8) (2,-1) (-2,11) All of these are solutions to the given equation.


What is the points where used to graph linear inequalities?

To graph linear inequalities, you first identify the boundary line by rewriting the inequality in slope-intercept form (y = mx + b) and plotting the corresponding linear equation. If the inequality is strict (e.g., &lt; or &gt;), you use a dashed line to indicate that points on the line are not included. For non-strict inequalities (e.g., ≤ or ≥), a solid line is used. Finally, you shade the appropriate region of the graph to represent the solutions that satisfy the inequality, based on whether the inequality is greater than or less than.


Which ordered pairs are solutions to the inequality 2x y42x y4?

The inequality you provided seems to be incomplete or incorrectly formatted. However, if we assume you're referring to an inequality such as (2xy &lt; 4), then ordered pairs ((x, y)) that satisfy this would include those where the product of (xy) is less than 2, such as ((1, 1)), ((0, 0)), or ((2, 0)). To find specific solutions, you would substitute values for (x) and solve for (y) to check if they satisfy the inequality.